2400420022400 has 48 divisors (see below), whose sum is σ = 5929787594490. Its totient is φ = 960168007680.

The previous prime is 2400420022397. The next prime is 2400420022487. The reversal of 2400420022400 is 42200240042.

It can be written as a sum of positive squares in 3 ways, for example, as 1875212539456 + 525207482944 = 1369384^2 + 724712^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 375062429 + ... + 375068828.

Almost surely, 2^{2400420022400} is an apocalyptic number.

2400420022400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400420022400 is an abundant number, since it is smaller than the sum of its proper divisors (3529367572090).

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

2400420022400 is an equidigital number, since it uses as much as digits as its factorization.

2400420022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750131281 (or 750131264 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 2400420022400 its reverse (42200240042), we get a palindrome (2442620262442).

The spelling of 2400420022400 in words is "two trillion, four hundred billion, four hundred twenty million, twenty-two thousand, four hundred".