381970915200 has 864 divisors, whose sum is σ = 1615714902360. Its totient is φ = 85643550720.

The previous prime is 381970915189. The next prime is 381970915217. The reversal of 381970915200 is 2519079183.

381970915200 is a `hidden beast` number, since 38 + 1 + 9 + 7 + 0 + 91 + 520 + 0 = 666.

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 107 ways as a sum of consecutive naturals, for example, 74791047 + ... + 74796153.

Almost surely, 2^381970915200 is an apocalyptic number.

381970915200 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 381970915200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807857451180).

381970915200 is an abundant number, since it is smaller than the sum of its proper divisors (1233743987160).

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

381970915200 is a wasteful number, since it uses less digits than its factorization.

381970915200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5204 (or 5177 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 381970915200 in words is "three hundred eighty-one billion, nine hundred seventy million, nine hundred fifteen thousand, two hundred".