104615411014400 has 432 divisors, whose sum is σ = 304274797354080. Its totient is φ = 35108025139200.

The previous prime is 104615411014391. The next prime is 104615411014451. The reversal of 104615411014400 is 4410114516401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5572643414 + ... + 5572662186.

It is an arithmetic number, because the mean of its divisors is an integer number (704339808690).

Almost surely, 2^{104615411014400} is an apocalyptic number.

104615411014400 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 104615411014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152137398677040).

104615411014400 is an abundant number, since it is smaller than the sum of its proper divisors (199659386339680).

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

104615411014400 is a wasteful number, since it uses less digits than its factorization.

104615411014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24912 (or 24893 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The spelling of 104615411014400 in words is "one hundred four trillion, six hundred fifteen billion, four hundred eleven million, fourteen thousand, four hundred".