34121022400413 has 24 divisors (see below), whose sum is σ = 53078282406240. Its totient is φ = 20997102661920.

The previous prime is 34121022400411. The next prime is 34121022400457. The reversal of 34121022400413 is 31400422012143.

34121022400413 is a `hidden beast` number, since 3 + 4 + 1 + 2 + 1 + 0 + 2 + 240 + 0 + 413 = 666.

It is not a de Polignac number, because 34121022400413 - 2¹ = 34121022400411 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34121022400411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2407318 + ... + 8604488.

It is an arithmetic number, because the mean of its divisors is an integer number (2211595100260).

Almost surely, 2^{34121022400413} is an apocalyptic number.

It is an amenable number.

34121022400413 is a deficient number, since it is larger than the sum of its proper divisors (18957260005827).

34121022400413 is a wasteful number, since it uses less digits than its factorization.

34121022400413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6244249 (or 6244246 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 34121022400413 its reverse (31400422012143), we get a palindrome (65521444412556).

The spelling of 34121022400413 in words is "thirty-four trillion, one hundred twenty-one billion, twenty-two million, four hundred thousand, four hundred thirteen".