2404042332400 has 120 divisors (see below), whose sum is σ = 5914545998400. Its totient is φ = 938775552000.

The previous prime is 2404042332287. The next prime is 2404042332407. The reversal of 2404042332400 is 42332404042.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2404042332407) 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, 2385000 + ... + 3239800.

It is an arithmetic number, because the mean of its divisors is an integer number (49287883320).

Almost surely, 2^{2404042332400} is an apocalyptic number.

2404042332400 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 2404042332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2957272999200).

2404042332400 is an abundant number, since it is smaller than the sum of its proper divisors (3510503666000).

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

2404042332400 is a wasteful number, since it uses less digits than its factorization.

2404042332400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854987 (or 854976 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 2404042332400 its reverse (42332404042), we get a palindrome (2446374736442).

The spelling of 2404042332400 in words is "two trillion, four hundred four billion, forty-two million, three hundred thirty-two thousand, four hundred".