381982464000 has 576 divisors, whose sum is σ = 1383822105120. Its totient is φ = 101346508800.

The previous prime is 381982463969. The next prime is 381982464011. The reversal of 381982464000 is 464289183.

It is a happy number.

381982464000 is a `hidden beast` number, since 38 + 198 + 24 + 6 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×381982464000² (a number of 24 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 730367739 + ... + 730368261.

Almost surely, 2^381982464000 is an apocalyptic number.

381982464000 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 381982464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691911052560).

381982464000 is an abundant number, since it is smaller than the sum of its proper divisors (1001839641120).

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

381982464000 is a wasteful number, since it uses less digits than its factorization.

381982464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 381982464000 in words is "three hundred eighty-one billion, nine hundred eighty-two million, four hundred sixty-four thousand".