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40820477040 = 24335721953383
BaseRepresentation
bin100110000001000101…
…110000110001110000
310220100211221002102000
4212001011300301300
51132100020231130
630430324254000
72643366221100
oct460105606160
9126324832360
1040820477040
1116348105642
127ab2841300
133b07054a35
141d93547200
1510dda56260
hex981170c70

40820477040 has 960 divisors, whose sum is σ = 175874457600. Its totient is φ = 8649897984.

The previous prime is 40820477003. The next prime is 40820477063. The reversal of 40820477040 is 4077402804.

40820477040 is a `hidden beast` number, since 408 + 204 + 7 + 7 + 0 + 40 = 666.

It is a super-2 number, since 2×408204770402 (a number of 22 digits) contains 22 as substring.

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 = 40820476986 and 40820477004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 106580689 + ... + 106581071.

It is an arithmetic number, because the mean of its divisors is an integer number (183202560).

Almost surely, 240820477040 is an apocalyptic number.

40820477040 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 40820477040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87937228800).

40820477040 is an abundant number, since it is smaller than the sum of its proper divisors (135053980560).

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

40820477040 is a wasteful number, since it uses less digits than its factorization.

40820477040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

Adding to 40820477040 its reverse (4077402804), we get a palindrome (44897879844).

The spelling of 40820477040 in words is "forty billion, eight hundred twenty million, four hundred seventy-seven thousand, forty".