3904977712440 has 512 divisors, whose sum is σ = 15286160332800. Its totient is φ = 776435466240.

The previous prime is 3904977712373. The next prime is 3904977712451. The reversal of 3904977712440 is 442177794093.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10948602 + ... + 11299638.

It is an arithmetic number, because the mean of its divisors is an integer number (29855781900).

Almost surely, 2^{3904977712440} is an apocalyptic number.

3904977712440 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 3904977712440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7643080166400).

3904977712440 is an abundant number, since it is smaller than the sum of its proper divisors (11381182620360).

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

3904977712440 is a wasteful number, since it uses less digits than its factorization.

3904977712440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351135 (or 351131 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 57.

The spelling of 3904977712440 in words is "three trillion, nine hundred four billion, nine hundred seventy-seven million, seven hundred twelve thousand, four hundred forty".