131411214950400 has 7056 divisors, whose sum is σ = 656107688348928. Its totient is φ = 25751126016000.

The previous prime is 131411214950383. The next prime is 131411214950447. The reversal of 131411214950400 is 4059412114131.

131411214950400 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 1 + 1 + 2 + 149 + 504 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7056).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 1850862182365 + ... + 1850862182435.

Almost surely, 2^{131411214950400} is an apocalyptic number.

131411214950400 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 131411214950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328053844174464).

131411214950400 is an abundant number, since it is smaller than the sum of its proper divisors (524696473398528).

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

131411214950400 is an equidigital number, since it uses as much as digits as its factorization.

131411214950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 131411214950400 in words is "one hundred thirty-one trillion, four hundred eleven billion, two hundred fourteen million, nine hundred fifty thousand, four hundred".