901900899437940 has 192 divisors, whose sum is σ = 2823322544824320. Its totient is φ = 239014941056640.

The previous prime is 901900899437927. The next prime is 901900899437999. The reversal of 901900899437940 is 49734998009109.

901900899437940 is a `hidden beast` number, since 9 + 0 + 1 + 90 + 0 + 89 + 94 + 379 + 4 + 0 = 666.

It is a super-2 number, since 2×901900899437940² (a number of 31 digits) contains 22 as substring.

It is a congruent number.

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, 1305079177 + ... + 1305770063.

It is an arithmetic number, because the mean of its divisors is an integer number (14704804920960).

Almost surely, 2^{901900899437940} is an apocalyptic number.

901900899437940 is a gapful number since it is divisible by the number (90) 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 901900899437940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411661272412160).

901900899437940 is an abundant number, since it is smaller than the sum of its proper divisors (1921421645386380).

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

901900899437940 is a wasteful number, since it uses less digits than its factorization.

901900899437940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705899 (or 705891 counting only the distinct ones).

The product of its (nonzero) digits is 158723712, while the sum is 72.

The spelling of 901900899437940 in words is "nine hundred one trillion, nine hundred billion, eight hundred ninety-nine million, four hundred thirty-seven thousand, nine hundred forty".