901340935488 has 504 divisors, whose sum is σ = 3133880545536. Its totient is φ = 242444482560.

The previous prime is 901340935447. The next prime is 901340935501. The reversal of 901340935488 is 884539043109.

901340935488 is a `hidden beast` number, since 9 + 0 + 1 + 3 + 4 + 0 + 93 + 548 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 143362681 + ... + 143368967.

Almost surely, 2^901340935488 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 901340935488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566940272768).

901340935488 is an abundant number, since it is smaller than the sum of its proper divisors (2232539610048).

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

901340935488 is a wasteful number, since it uses less digits than its factorization.

901340935488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6411 (or 6367 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 901340935488 in words is "nine hundred one billion, three hundred forty million, nine hundred thirty-five thousand, four hundred eighty-eight".