3120024000413 has 16 divisors (see below), whose sum is σ = 3284999530800. Its totient is φ = 2959009159680.

The previous prime is 3120024000397. The next prime is 3120024000419. The reversal of 3120024000413 is 3140004200213.

It can be written as a sum of positive squares in 8 ways, for example, as 42276004 + 3119981724409 = 6502^2 + 1766347^2 .

It is not a de Polignac number, because 3120024000413 - 2⁴ = 3120024000397 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3120024000419) 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, 93593 + ... + 2499761.

It is an arithmetic number, because the mean of its divisors is an integer number (205312470675).

Almost surely, 2^{3120024000413} is an apocalyptic number.

It is an amenable number.

3120024000413 is a deficient number, since it is larger than the sum of its proper divisors (164975530387).

3120024000413 is a wasteful number, since it uses less digits than its factorization.

3120024000413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2406992.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 3120024000413 its reverse (3140004200213), we get a palindrome (6260028200626).

The spelling of 3120024000413 in words is "three trillion, one hundred twenty billion, twenty-four million, four hundred thirteen", and thus it is an aban number.