158081414400 has 1296 divisors, whose sum is σ = 722010982784. Its totient is φ = 33323581440.

The previous prime is 158081414399. The next prime is 158081414411. The reversal of 158081414400 is 4414180851.

It is a tau number, because it is divible by the number of its divisors (1296).

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 143 ways as a sum of consecutive naturals, for example, 141522642 + ... + 141523758.

Almost surely, 2^158081414400 is an apocalyptic number.

158081414400 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 158081414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361005491392).

158081414400 is an abundant number, since it is smaller than the sum of its proper divisors (563929568384).

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

158081414400 is a wasteful number, since it uses less digits than its factorization.

158081414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 158081414400 in words is "one hundred fifty-eight billion, eighty-one million, four hundred fourteen thousand, four hundred".