102314114402400 has 864 divisors, whose sum is σ = 390253469991840. Its totient is φ = 25135296675840.

The previous prime is 102314114402341. The next prime is 102314114402431. The reversal of 102314114402400 is 4204411413201.

102314114402400 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 1 + 411 + 4 + 4 + 0 + 240 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11505012354 + ... + 11505021246.

It is an arithmetic number, because the mean of its divisors is an integer number (451682256935).

Almost surely, 2^{102314114402400} is an apocalyptic number.

102314114402400 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 102314114402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195126734995920).

102314114402400 is an abundant number, since it is smaller than the sum of its proper divisors (287939355589440).

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

102314114402400 is a wasteful number, since it uses less digits than its factorization.

102314114402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11248 (or 11232 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 102314114402400 its reverse (4204411413201), we get a palindrome (106518525815601).

The spelling of 102314114402400 in words is "one hundred two trillion, three hundred fourteen billion, one hundred fourteen million, four hundred two thousand, four hundred".