381169958400 has 1440 divisors, whose sum is σ = 1722110277888. Its totient is φ = 78210662400.

The previous prime is 381169958381. The next prime is 381169958431. The reversal of 381169958400 is 4859961183.

381169958400 is a `hidden beast` number, since 38 + 116 + 9 + 95 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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, 860428579 + ... + 860429021.

Almost surely, 2^381169958400 is an apocalyptic number.

381169958400 is a gapful number since it is divisible by the number (30) 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 381169958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861055138944).

381169958400 is an abundant number, since it is smaller than the sum of its proper divisors (1340940319488).

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

381169958400 is a wasteful number, since it uses less digits than its factorization.

381169958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 381169958400 in words is "three hundred eighty-one billion, one hundred sixty-nine million, nine hundred fifty-eight thousand, four hundred".