90042424024464 has 120 divisors (see below), whose sum is σ = 265305549194400. Its totient is φ = 28429197834240.

The previous prime is 90042424024417. The next prime is 90042424024517. The reversal of 90042424024464 is 46442042424009.

90042424024464 is a `hidden beast` number, since 90 + 0 + 4 + 2 + 42 + 40 + 24 + 464 = 666.

It is a super-3 number, since 3×90042424024464³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11789824 + ... + 17862944.

It is an arithmetic number, because the mean of its divisors is an integer number (2210879576620).

Almost surely, 2^{90042424024464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90042424024464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132652774597200).

90042424024464 is an abundant number, since it is smaller than the sum of its proper divisors (175263125169936).

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

90042424024464 is a wasteful number, since it uses less digits than its factorization.

90042424024464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6078573 (or 6078564 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 45.

The spelling of 90042424024464 in words is "ninety trillion, forty-two billion, four hundred twenty-four million, twenty-four thousand, four hundred sixty-four".