2424133104400 has 120 divisors (see below), whose sum is σ = 6747155229824. Its totient is φ = 819745920000.

The previous prime is 2424133104389. The next prime is 2424133104403. The reversal of 2424133104400 is 44013314242.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (2424133104403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5725476 + ... + 6134275.

Almost surely, 2^{2424133104400} is an apocalyptic number.

2424133104400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2424133104400 is an abundant number, since it is smaller than the sum of its proper divisors (4323022125424).

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

2424133104400 is a wasteful number, since it uses less digits than its factorization.

2424133104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11859849 (or 11859838 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 2424133104400 its reverse (44013314242), we get a palindrome (2468146418642).

The spelling of 2424133104400 in words is "two trillion, four hundred twenty-four billion, one hundred thirty-three million, one hundred four thousand, four hundred".