361393242999840 has 192 divisors, whose sum is σ = 1285612029313920. Its totient is φ = 94791670225920.

The previous prime is 361393242999823. The next prime is 361393242999871. The reversal of 361393242999840 is 48999242393163.

361393242999840 is a `hidden beast` number, since 3 + 6 + 1 + 3 + 9 + 32 + 429 + 99 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 685440114 + ... + 685967153.

It is an arithmetic number, because the mean of its divisors is an integer number (6695895986010).

Almost surely, 2^{361393242999840} is an apocalyptic number.

361393242999840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

361393242999840 is an abundant number, since it is smaller than the sum of its proper divisors (924218786314080).

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

361393242999840 is a wasteful number, since it uses less digits than its factorization.

361393242999840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371407352 (or 1371407338 counting only the distinct ones).

The product of its (nonzero) digits is 544195584, while the sum is 72.

The spelling of 361393242999840 in words is "three hundred sixty-one trillion, three hundred ninety-three billion, two hundred forty-two million, nine hundred ninety-nine thousand, eight hundred forty".