381943411200 has 1440 divisors, whose sum is σ = 1603165724160. Its totient is φ = 85996339200.

The previous prime is 381943411183. The next prime is 381943411247. The reversal of 381943411200 is 2114349183.

381943411200 is a `hidden beast` number, since 3 + 8 + 1 + 9 + 434 + 11 + 200 = 666.

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

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

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, 882086184 + ... + 882086616.

Almost surely, 2^381943411200 is an apocalyptic number.

381943411200 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 381943411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801582862080).

381943411200 is an abundant number, since it is smaller than the sum of its proper divisors (1221222312960).

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

381943411200 is a wasteful number, since it uses less digits than its factorization.

381943411200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 381943411200 in words is "three hundred eighty-one billion, nine hundred forty-three million, four hundred eleven thousand, two hundred".