381299256000 has 1344 divisors, whose sum is σ = 1607545046016. Its totient is φ = 85377024000.

The previous prime is 381299255993. The next prime is 381299256001. The reversal of 381299256000 is 652992183.

381299256000 is a `hidden beast` number, since 3 + 8 + 12 + 9 + 9 + 25 + 600 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (381299256001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 493271614 + ... + 493272386.

It is an arithmetic number, because the mean of its divisors is an integer number (1196090064).

Almost surely, 2^381299256000 is an apocalyptic number.

381299256000 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 381299256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803772523008).

381299256000 is an abundant number, since it is smaller than the sum of its proper divisors (1226245790016).

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

381299256000 is a wasteful number, since it uses less digits than its factorization.

381299256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 381299256000 in words is "three hundred eighty-one billion, two hundred ninety-nine million, two hundred fifty-six thousand".