90017075000040 has 128 divisors (see below), whose sum is σ = 277533481317120. Its totient is φ = 23340322713600.

The previous prime is 90017074999981. The next prime is 90017075000053. The reversal of 90017075000040 is 4000057071009.

90017075000040 is a nontrivial binomial coefficient, being equal to C(13417681, 2).

It is a junction number, because it is equal to n+sod(n) for n = 90017074999965 and 90017075000010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1 + ... + 13417680.

It is an arithmetic number, because the mean of its divisors is an integer number (2168230322790).

Almost surely, 2^{90017075000040} is an apocalyptic number.

90017075000040 is the 13417680-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90017075000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138766740658560).

90017075000040 is an abundant number, since it is smaller than the sum of its proper divisors (187516406317080).

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

90017075000040 is a wasteful number, since it uses less digits than its factorization.

90017075000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13419243 (or 13419239 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 33.

The spelling of 90017075000040 in words is "ninety trillion, seventeen billion, seventy-five million, forty", and thus it is an aban number and an uban number.