2400304342401 has 12 divisors (see below), whose sum is σ = 3962407168512. Its totient is φ = 1371602481336.

The previous prime is 2400304342393. The next prime is 2400304342421. The reversal of 2400304342401 is 1042434030042.

It is a happy number.

It is not a de Polignac number, because 2400304342401 - 2³ = 2400304342393 is a prime.

It is a super-2 number, since 2×2400304342401² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2400304342421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19050034401 + ... + 19050034526.

It is an arithmetic number, because the mean of its divisors is an integer number (330200597376).

Almost surely, 2^{2400304342401} is an apocalyptic number.

2400304342401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2400304342401 is a deficient number, since it is larger than the sum of its proper divisors (1562102826111).

2400304342401 is a wasteful number, since it uses less digits than its factorization.

2400304342401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38100068940 (or 38100068937 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 2400304342401 its reverse (1042434030042), we get a palindrome (3442738372443).

The spelling of 2400304342401 in words is "two trillion, four hundred billion, three hundred four million, three hundred forty-two thousand, four hundred one".