42090744960 has 512 divisors, whose sum is σ = 164740608000. Its totient is φ = 10071060480.

The previous prime is 42090744959. The next prime is 42090744979. The reversal of 42090744960 is 6944709024.

42090744960 is a `hidden beast` number, since 4 + 2 + 0 + 90 + 74 + 496 + 0 = 666.

It is a super-2 number, since 2×42090744960² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15014919 + ... + 15017721.

It is an arithmetic number, because the mean of its divisors is an integer number (321759000).

Almost surely, 2^42090744960 is an apocalyptic number.

42090744960 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 42090744960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82370304000).

42090744960 is an abundant number, since it is smaller than the sum of its proper divisors (122649863040).

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

42090744960 is a wasteful number, since it uses less digits than its factorization.

42090744960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2921 (or 2903 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 42090744960 in words is "forty-two billion, ninety million, seven hundred forty-four thousand, nine hundred sixty".