158903942400 has 1080 divisors, whose sum is σ = 681533045760. Its totient is φ = 36226068480.

The previous prime is 158903942399. The next prime is 158903942419. The reversal of 158903942400 is 4249309851.

158903942400 is a `hidden beast` number, since 15 + 8 + 9 + 0 + 394 + 240 + 0 = 666.

158903942400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 414892609 + ... + 414892991.

Almost surely, 2^158903942400 is an apocalyptic number.

158903942400 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 158903942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340766522880).

158903942400 is an abundant number, since it is smaller than the sum of its proper divisors (522629103360).

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

158903942400 is an frugal number, since it uses more digits than its factorization.

158903942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 158903942400 in words is "one hundred fifty-eight billion, nine hundred three million, nine hundred forty-two thousand, four hundred".