2400104320400 has 30 divisors (see below), whose sum is σ = 5766250630722. Its totient is φ = 960041728000.

The previous prime is 2400104320303. The next prime is 2400104320417. The reversal of 2400104320400 is 40234010042.

It can be written as a sum of positive squares in 3 ways, for example, as 131983983616 + 2268120336784 = 363296^2 + 1506028^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3000130001 + ... + 3000130800.

Almost surely, 2^{2400104320400} is an apocalyptic number.

2400104320400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400104320400 is an abundant number, since it is smaller than the sum of its proper divisors (3366146310322).

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

2400104320400 is a wasteful number, since it uses less digits than its factorization.

2400104320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6000260819 (or 6000260808 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 2400104320400 its reverse (40234010042), we get a palindrome (2440338330442).

The spelling of 2400104320400 in words is "two trillion, four hundred billion, one hundred four million, three hundred twenty thousand, four hundred".