2420133114400 has 72 divisors (see below), whose sum is σ = 5950654914960. Its totient is φ = 961088789760.

The previous prime is 2420133114379. The next prime is 2420133114437. The reversal of 2420133114400 is 44113310242.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 10770694 + ... + 10993093.

It is an arithmetic number, because the mean of its divisors is an integer number (82647984930).

Almost surely, 2^{2420133114400} is an apocalyptic number.

2420133114400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2420133114400 is an abundant number, since it is smaller than the sum of its proper divisors (3530521800560).

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

2420133114400 is a wasteful number, since it uses less digits than its factorization.

2420133114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21763946 (or 21763933 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 2420133114400 its reverse (44113310242), we get a palindrome (2464246424642).

The spelling of 2420133114400 in words is "two trillion, four hundred twenty billion, one hundred thirty-three million, one hundred fourteen thousand, four hundred".