104311314132400 has 240 divisors, whose sum is σ = 252204840000000. Its totient is φ = 41459815720960.

The previous prime is 104311314132373. The next prime is 104311314132449. The reversal of 104311314132400 is 4231413113401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69587266851 + ... + 69587268349.

It is an arithmetic number, because the mean of its divisors is an integer number (1050853500000).

Almost surely, 2^{104311314132400} is an apocalyptic number.

104311314132400 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 104311314132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126102420000000).

104311314132400 is an abundant number, since it is smaller than the sum of its proper divisors (147893525867600).

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

104311314132400 is a wasteful number, since it uses less digits than its factorization.

104311314132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3284 (or 3273 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 104311314132400 its reverse (4231413113401), we get a palindrome (108542727245801).

The spelling of 104311314132400 in words is "one hundred four trillion, three hundred eleven billion, three hundred fourteen million, one hundred thirty-two thousand, four hundred".