42990165120 has 256 divisors, whose sum is σ = 161660436480. Its totient is φ = 9509253120.

The previous prime is 42990165079. The next prime is 42990165137. The reversal of 42990165120 is 2156109924.

It is a super-2 number, since 2×42990165120² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 365049 + ... + 468231.

It is an arithmetic number, because the mean of its divisors is an integer number (631486080).

Almost surely, 2^42990165120 is an apocalyptic number.

42990165120 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 42990165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80830218240).

42990165120 is an abundant number, since it is smaller than the sum of its proper divisors (118670271360).

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

42990165120 is a wasteful number, since it uses less digits than its factorization.

42990165120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103243 (or 103231 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 42990165120 in words is "forty-two billion, nine hundred ninety million, one hundred sixty-five thousand, one hundred twenty".