3400415131253 has 16 divisors (see below), whose sum is σ = 3955104024960. Its totient is φ = 2863031256576.

The previous prime is 3400415131237. The next prime is 3400415131363. The reversal of 3400415131253 is 3521315140043.

It is a cyclic number.

It is not a de Polignac number, because 3400415131253 - 2⁴ = 3400415131237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400415181253) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2638376 + ... + 3709697.

It is an arithmetic number, because the mean of its divisors is an integer number (247194001560).

Almost surely, 2^{3400415131253} is an apocalyptic number.

It is an amenable number.

3400415131253 is a deficient number, since it is larger than the sum of its proper divisors (554688893707).

3400415131253 is a wasteful number, since it uses less digits than its factorization.

3400415131253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6349436.

The product of its (nonzero) digits is 21600, while the sum is 32.

The spelling of 3400415131253 in words is "three trillion, four hundred billion, four hundred fifteen million, one hundred thirty-one thousand, two hundred fifty-three".