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41796019440 = 24375734127
BaseRepresentation
bin100110111011001111…
…001010010011110000
310222212211120210000000
4212323033022103300
51141044240110230
631111213430000
73006513206040
oct467317122360
9128784523000
1041796019440
11167a884402a
12812549b300
133c311aa866
142046d29720
151149505b60
hex9bb3ca4f0

41796019440 has 320 divisors, whose sum is σ = 166566481920. Its totient is φ = 9553095936.

The previous prime is 41796019429. The next prime is 41796019493. The reversal of 41796019440 is 4491069714.

41796019440 is a `hidden beast` number, since 417 + 9 + 6 + 0 + 194 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1207657 + ... + 1241783.

It is an arithmetic number, because the mean of its divisors is an integer number (520520256).

Almost surely, 241796019440 is an apocalyptic number.

41796019440 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 41796019440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83283240960).

41796019440 is an abundant number, since it is smaller than the sum of its proper divisors (124770462480).

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

41796019440 is an equidigital number, since it uses as much as digits as its factorization.

41796019440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34168 (or 34144 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 41796019440 in words is "forty-one billion, seven hundred ninety-six million, nineteen thousand, four hundred forty".