42236519264640 has 1792 divisors, whose sum is σ = 158335949076480. Its totient is φ = 10762656841728.

The previous prime is 42236519264627. The next prime is 42236519264651. The reversal of 42236519264640 is 4646291563224.

42236519264640 is a `hidden beast` number, since 4 + 2 + 2 + 3 + 6 + 519 + 2 + 64 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 189401431569 + ... + 189401431791.

It is an arithmetic number, because the mean of its divisors is an integer number (88357114440).

Almost surely, 2^{42236519264640} is an apocalyptic number.

42236519264640 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 42236519264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79167974538240).

42236519264640 is an abundant number, since it is smaller than the sum of its proper divisors (116099429811840).

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

42236519264640 is an equidigital number, since it uses as much as digits as its factorization.

42236519264640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 42236519264640 in words is "forty-two trillion, two hundred thirty-six billion, five hundred nineteen million, two hundred sixty-four thousand, six hundred forty".