2404008038400 has 1248 divisors, whose sum is σ = 8649142419456. Its totient is φ = 587857920000.

The previous prime is 2404008038389. The next prime is 2404008038459. The reversal of 2404008038400 is 48308004042.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18351206335 + ... + 18351206465.

Almost surely, 2^{2404008038400} is an apocalyptic number.

2404008038400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2404008038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4324571209728).

2404008038400 is an abundant number, since it is smaller than the sum of its proper divisors (6245134381056).

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

2404008038400 is a wasteful number, since it uses less digits than its factorization.

2404008038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The spelling of 2404008038400 in words is "two trillion, four hundred four billion, eight million, thirty-eight thousand, four hundred".