104407809949440 has 216 divisors, whose sum is σ = 361414825611840. Its totient is φ = 27828619517952.

The previous prime is 104407809949379. The next prime is 104407809949453. The reversal of 104407809949440 is 44949908704401.

104407809949440 is a `hidden beast` number, since 10 + 4 + 4 + 0 + 7 + 8 + 0 + 99 + 494 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21644649 + ... + 26025111.

It is an arithmetic number, because the mean of its divisors is an integer number (1673216785240).

Almost surely, 2^{104407809949440} is an apocalyptic number.

104407809949440 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 104407809949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180707412805920).

104407809949440 is an abundant number, since it is smaller than the sum of its proper divisors (257007015662400).

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

104407809949440 is a wasteful number, since it uses less digits than its factorization.

104407809949440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4382559 (or 4382542 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 104407809949440 in words is "one hundred four trillion, four hundred seven billion, eight hundred nine million, nine hundred forty-nine thousand, four hundred forty".