381014571960 has 288 divisors, whose sum is σ = 1441171433520. Its totient is φ = 86933637120.

The previous prime is 381014571947. The next prime is 381014571967. The reversal of 381014571960 is 69175410183.

381014571960 is a `hidden beast` number, since 3 + 8 + 1 + 0 + 1 + 457 + 196 + 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 not an unprimeable number, because it can be changed into a prime (381014571967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 483259 + ... + 997781.

Almost surely, 2^381014571960 is an apocalyptic number.

381014571960 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 381014571960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720585716760).

381014571960 is an abundant number, since it is smaller than the sum of its proper divisors (1060156861560).

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

381014571960 is a wasteful number, since it uses less digits than its factorization.

381014571960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514579 (or 514561 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 381014571960 in words is "three hundred eighty-one billion, fourteen million, five hundred seventy-one thousand, nine hundred sixty".