42831093962160 has 240 divisors, whose sum is σ = 164412268637760. Its totient is φ = 9788627312640.

The previous prime is 42831093962147. The next prime is 42831093962207. The reversal of 42831093962160 is 6126939013824.

42831093962160 is a `hidden beast` number, since 4 + 2 + 8 + 3 + 1 + 0 + 9 + 3 + 9 + 621 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 42831093962097 and 42831093962106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36563140 + ... + 37716380.

It is an arithmetic number, because the mean of its divisors is an integer number (685051119324).

Almost surely, 2^{42831093962160} is an apocalyptic number.

42831093962160 is a gapful number since it is divisible by the number (40) 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 42831093962160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82206134318880).

42831093962160 is an abundant number, since it is smaller than the sum of its proper divisors (121581174675600).

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

42831093962160 is a wasteful number, since it uses less digits than its factorization.

42831093962160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160636 (or 1160627 counting only the distinct ones).

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

The spelling of 42831093962160 in words is "forty-two trillion, eight hundred thirty-one billion, ninety-three million, nine hundred sixty-two thousand, one hundred sixty".