2404760431441 has 27 divisors (see below), whose sum is σ = 2534270758747. Its totient is φ = 2281680621440.

The previous prime is 2404760431429. The next prime is 2404760431457. The reversal of 2404760431441 is 1441340674042.

The square root of 2404760431441 is 1550729.

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

It can be written as a sum of positive squares in only one way, i.e., 976983980625 + 1427776450816 = 988425^2 + 1194896^2 .

It is not a de Polignac number, because 2404760431441 - 2¹⁵ = 2404760398673 is a prime.

It is a super-2 number, since 2×2404760431441² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2404760431394 and 2404760431403.

It is not an unprimeable number, because it can be changed into a prime (2404760431141) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6812352321 + ... + 6812352673.

Almost surely, 2^{2404760431441} is an apocalyptic number.

2404760431441 is the 1550729-th square number.

2404760431441 is the 775365-th centered octagonal number.

It is an amenable number.

2404760431441 is a deficient number, since it is larger than the sum of its proper divisors (129510327306).

2404760431441 is an frugal number, since it uses more digits than its factorization.

2404760431441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 40.

The spelling of 2404760431441 in words is "two trillion, four hundred four billion, seven hundred sixty million, four hundred thirty-one thousand, four hundred forty-one".