2413396427121 has 81 divisors (see below), whose sum is σ = 3758534071851. Its totient is φ = 1491967108224.

The previous prime is 2413396427107. The next prime is 2413396427147. The reversal of 2413396427121 is 1217246933142.

The square root of 2413396427121 is 1553511.

It is a perfect power (a square), and thus also a powerful number.

2413396427121 is a `hidden beast` number, since 2 + 4 + 13 + 3 + 96 + 427 + 121 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1878941855025 + 534454572096 = 1370745^2 + 731064^2 .

It is not a de Polignac number, because 2413396427121 - 2⁷ = 2413396426993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2413396427161) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6576011880 + ... + 6576012246.

Almost surely, 2^{2413396427121} is an apocalyptic number.

2413396427121 is the 1553511-st square number.

2413396427121 is the 776756-th centered octagonal number.

It is an amenable number.

2413396427121 is a deficient number, since it is larger than the sum of its proper divisors (1345137644730).

2413396427121 is an frugal number, since it uses more digits than its factorization.

2413396427121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 470 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 2413396427121 in words is "two trillion, four hundred thirteen billion, three hundred ninety-six million, four hundred twenty-seven thousand, one hundred twenty-one".