104480893440 has 1280 divisors, whose sum is σ = 471209840640. Its totient is φ = 21313290240.

The previous prime is 104480893427. The next prime is 104480893481. The reversal of 104480893440 is 44398084401.

104480893440 is a `hidden beast` number, since 1 + 0 + 44 + 80 + 8 + 93 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 356589934 + ... + 356590226.

It is an arithmetic number, because the mean of its divisors is an integer number (368132688).

Almost surely, 2^104480893440 is an apocalyptic number.

104480893440 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 104480893440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235604920320).

104480893440 is an abundant number, since it is smaller than the sum of its proper divisors (366728947200).

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

104480893440 is a wasteful number, since it uses less digits than its factorization.

104480893440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 104480893440 in words is "one hundred four billion, four hundred eighty million, eight hundred ninety-three thousand, four hundred forty".