42639851520000 has 3040 divisors, whose sum is σ = 193399995191040. Its totient is φ = 9172942848000.

The previous prime is 42639851519989. The next prime is 42639851520089. The reversal of 42639851520000 is 2515893624.

42639851520000 is a `hidden beast` number, since 4 + 2 + 6 + 398 + 51 + 5 + 200 + 0 + 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2508226559992 + ... + 2508226560008.

Almost surely, 2^{42639851520000} is an apocalyptic number.

42639851520000 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 42639851520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96699997595520).

42639851520000 is an abundant number, since it is smaller than the sum of its proper divisors (150760143671040).

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

42639851520000 is an frugal number, since it uses more digits than its factorization.

42639851520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 42639851520000 in words is "forty-two trillion, six hundred thirty-nine billion, eight hundred fifty-one million, five hundred twenty thousand".