104377223504400 has 1440 divisors, whose sum is σ = 441782658290688. Its totient is φ = 20453232844800.

The previous prime is 104377223504347. The next prime is 104377223504413. The reversal of 104377223504400 is 4405322773401.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3341445582 + ... + 3341476818.

Almost surely, 2^{104377223504400} is an apocalyptic number.

104377223504400 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 104377223504400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220891329145344).

104377223504400 is an abundant number, since it is smaller than the sum of its proper divisors (337405434786288).

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

104377223504400 is a wasteful number, since it uses less digits than its factorization.

104377223504400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31377 (or 31337 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 42.

The spelling of 104377223504400 in words is "one hundred four trillion, three hundred seventy-seven billion, two hundred twenty-three million, five hundred four thousand, four hundred".