381296096640 has 192 divisors, whose sum is σ = 1324277313840. Its totient is φ = 101090955264.

The previous prime is 381296096593. The next prime is 381296096659. The reversal of 381296096640 is 46690692183.

381296096640 is a `hidden beast` number, since 3 + 8 + 1 + 29 + 609 + 6 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 805159 + ... + 1187801.

Almost surely, 2^381296096640 is an apocalyptic number.

381296096640 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 381296096640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662138656920).

381296096640 is an abundant number, since it is smaller than the sum of its proper divisors (942981217200).

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

381296096640 is a wasteful number, since it uses less digits than its factorization.

381296096640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382841 (or 382826 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 381296096640 in words is "three hundred eighty-one billion, two hundred ninety-six million, ninety-six thousand, six hundred forty".