2400134014421 has 24 divisors (see below), whose sum is σ = 2855521707192. Its totient is φ = 2003874364800.

The previous prime is 2400134014403. The next prime is 2400134014457. The reversal of 2400134014421 is 1244104310042.

2400134014421 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1372669992100 + 1027464022321 = 1171610^2 + 1013639^2 .

It is not a de Polignac number, because 2400134014421 - 2⁶ = 2400134014357 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400134014021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3562790 + ... + 4182551.

It is an arithmetic number, because the mean of its divisors is an integer number (118980071133).

Almost surely, 2^{2400134014421} is an apocalyptic number.

It is an amenable number.

2400134014421 is a deficient number, since it is larger than the sum of its proper divisors (455387692771).

2400134014421 is a wasteful number, since it uses less digits than its factorization.

2400134014421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7745573 (or 7745562 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 2400134014421 its reverse (1244104310042), we get a palindrome (3644238324463).

The spelling of 2400134014421 in words is "two trillion, four hundred billion, one hundred thirty-four million, fourteen thousand, four hundred twenty-one".