3901144596480 has 576 divisors, whose sum is σ = 13979160489060. Its totient is φ = 1006381301760.

The previous prime is 3901144596467. The next prime is 3901144596533. The reversal of 3901144596480 is 846954411093.

3901144596480 is a `hidden beast` number, since 3 + 9 + 0 + 1 + 1 + 4 + 4 + 596 + 48 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3764965883904 + 136178712576 = 1940352^2 + 369024^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1417050784 + ... + 1417053536.

Almost surely, 2^{3901144596480} is an apocalyptic number.

3901144596480 is a gapful number since it is divisible by the number (30) 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 3901144596480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6989580244530).

3901144596480 is an abundant number, since it is smaller than the sum of its proper divisors (10078015892580).

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

3901144596480 is an equidigital number, since it uses as much as digits as its factorization.

3901144596480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2856 (or 2794 counting only the distinct ones).

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

The spelling of 3901144596480 in words is "three trillion, nine hundred one billion, one hundred forty-four million, five hundred ninety-six thousand, four hundred eighty".