2400314434431 has 16 divisors (see below), whose sum is σ = 3275009591040. Its totient is φ = 1562918132160.

The previous prime is 2400314434423. The next prime is 2400314434471. The reversal of 2400314434431 is 1344344130042.

It is not a de Polignac number, because 2400314434431 - 2³ = 2400314434423 is a prime.

It is a super-2 number, since 2×2400314434431² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2400314434392 and 2400314434401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400314434471) 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, 2217990 + ... + 3117708.

It is an arithmetic number, because the mean of its divisors is an integer number (204688099440).

Almost surely, 2^{2400314434431} is an apocalyptic number.

2400314434431 is a deficient number, since it is larger than the sum of its proper divisors (874695156609).

2400314434431 is a wasteful number, since it uses less digits than its factorization.

2400314434431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920446.

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 2400314434431 its reverse (1344344130042), we get a palindrome (3744658564473).

The spelling of 2400314434431 in words is "two trillion, four hundred billion, three hundred fourteen million, four hundred thirty-four thousand, four hundred thirty-one".