90479292929440 has 192 divisors, whose sum is σ = 225168114124800. Its totient is φ = 34290738054144.

The previous prime is 90479292929357. The next prime is 90479292929449. The reversal of 90479292929440 is 4492929297409.

It is a super-2 number, since 2×90479292929440² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 90479292929440.

It is not an unprimeable number, because it can be changed into a prime (90479292929449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224355819 + ... + 224758741.

It is an arithmetic number, because the mean of its divisors is an integer number (1172750594400).

Almost surely, 2^{90479292929440} 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 90479292929440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112584057062400).

90479292929440 is an abundant number, since it is smaller than the sum of its proper divisors (134688821195360).

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

90479292929440 is a wasteful number, since it uses less digits than its factorization.

90479292929440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403539 (or 403531 counting only the distinct ones).

The product of its (nonzero) digits is 211631616, while the sum is 70.

The spelling of 90479292929440 in words is "ninety trillion, four hundred seventy-nine billion, two hundred ninety-two million, nine hundred twenty-nine thousand, four hundred forty".