3957144435261 has 12 divisors (see below), whose sum is σ = 5719814580480. Its totient is φ = 2636278158600.

The previous prime is 3957144435151. The next prime is 3957144435263. The reversal of 3957144435261 is 1625344417593.

3957144435261 is a `hidden beast` number, since 3 + 9 + 5 + 7 + 144 + 435 + 2 + 61 = 666.

It is not a de Polignac number, because 3957144435261 - 2¹⁷ = 3957144304189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3957144435198 and 3957144435207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3957144435263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151497181 + ... + 151523298.

It is an arithmetic number, because the mean of its divisors is an integer number (476651215040).

Almost surely, 2^{3957144435261} is an apocalyptic number.

It is an amenable number.

3957144435261 is a deficient number, since it is larger than the sum of its proper divisors (1762670145219).

3957144435261 is a wasteful number, since it uses less digits than its factorization.

3957144435261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303021936 (or 303021933 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 3957144435261 in words is "three trillion, nine hundred fifty-seven billion, one hundred forty-four million, four hundred thirty-five thousand, two hundred sixty-one".