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41204492640 = 25345231371009
BaseRepresentation
bin100110010111111110…
…101010100101100000
310221100121112002210000
4212113332222211200
51133341322231030
630532403140000
72656041260103
oct462776524540
9127317462700
1041204492640
1116524953203
127b9b374600
133b6878a8bc
141dcc54a73a
15111260d860
hex997faa960

41204492640 has 480 divisors, whose sum is σ = 152999098560. Its totient is φ = 10423074816.

The previous prime is 41204492627. The next prime is 41204492647. The reversal of 41204492640 is 4629440214.

It is a happy number.

41204492640 is a `hidden beast` number, since 4 + 1 + 2 + 0 + 4 + 4 + 9 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 41204492595 and 41204492604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41204492647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 40836456 + ... + 40837464.

It is an arithmetic number, because the mean of its divisors is an integer number (318748122).

Almost surely, 241204492640 is an apocalyptic number.

41204492640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41204492640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76499549280).

41204492640 is an abundant number, since it is smaller than the sum of its proper divisors (111794605920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41204492640 is a wasteful number, since it uses less digits than its factorization.

41204492640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 41204492640 in words is "forty-one billion, two hundred four million, four hundred ninety-two thousand, six hundred forty".