104390342400 has 432 divisors, whose sum is σ = 358682820608. Its totient is φ = 26707968000.

The previous prime is 104390342389. The next prime is 104390342401. The reversal of 104390342400 is 4243093401.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104390342401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75589710 + ... + 75591090.

Almost surely, 2^104390342400 is an apocalyptic number.

104390342400 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 104390342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179341410304).

104390342400 is an abundant number, since it is smaller than the sum of its proper divisors (254292478208).

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

104390342400 is a wasteful number, since it uses less digits than its factorization.

104390342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 104390342400 in words is "one hundred four billion, three hundred ninety million, three hundred forty-two thousand, four hundred".