104928445440 has 1408 divisors, whose sum is σ = 484205568000. Its totient is φ = 20925775872.

The previous prime is 104928445411. The next prime is 104928445441. The reversal of 104928445440 is 44544829401.

104928445440 is a `hidden beast` number, since 1 + 0 + 4 + 92 + 84 + 45 + 440 = 666.

It is a super-2 number, since 2×104928445440² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (104928445441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 239016741 + ... + 239017179.

It is an arithmetic number, because the mean of its divisors is an integer number (343896000).

Almost surely, 2^104928445440 is an apocalyptic number.

104928445440 is a gapful number since it is divisible by the number (10) 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 104928445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242102784000).

104928445440 is an abundant number, since it is smaller than the sum of its proper divisors (379277122560).

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

104928445440 is a wasteful number, since it uses less digits than its factorization.

104928445440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 104928445440 in words is "one hundred four billion, nine hundred twenty-eight million, four hundred forty-five thousand, four hundred forty".