10108931414400 has 2304 divisors, whose sum is σ = 46283277680640. Its totient is φ = 2121601351680.

The previous prime is 10108931414377. The next prime is 10108931414401. The reversal of 10108931414400 is 441413980101.

10108931414400 is a `hidden beast` number, since 1 + 0 + 108 + 9 + 3 + 141 + 4 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10108931414401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 26394076609 + ... + 26394076991.

It is an arithmetic number, because the mean of its divisors is an integer number (20088228160).

Almost surely, 2^{10108931414400} is an apocalyptic number.

10108931414400 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 10108931414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23141638840320).

10108931414400 is an abundant number, since it is smaller than the sum of its proper divisors (36174346266240).

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

10108931414400 is a wasteful number, since it uses less digits than its factorization.

10108931414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 10108931414400 in words is "ten trillion, one hundred eight billion, nine hundred thirty-one million, four hundred fourteen thousand, four hundred".