2400431214440 has 32 divisors (see below), whose sum is σ = 6172537409280. Its totient is φ = 823004987712.

The previous prime is 2400431214413. The next prime is 2400431214463. The reversal of 2400431214440 is 444121340042.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4286484032 + ... + 4286484591.

It is an arithmetic number, because the mean of its divisors is an integer number (192891794040).

Almost surely, 2^{2400431214440} is an apocalyptic number.

2400431214440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400431214440 is an abundant number, since it is smaller than the sum of its proper divisors (3772106194840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2400431214440 is a wasteful number, since it uses less digits than its factorization.

2400431214440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8572968641 (or 8572968637 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 2400431214440 its reverse (444121340042), we get a palindrome (2844552554482).

The spelling of 2400431214440 in words is "two trillion, four hundred billion, four hundred thirty-one million, two hundred fourteen thousand, four hundred forty".