20133324020400 has 120 divisors (see below), whose sum is σ = 64503458746560. Its totient is φ = 5368078014720.

The previous prime is 20133324020393. The next prime is 20133324020401. The reversal of 20133324020400 is 402042333102.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×20133324020400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (20133324020401) 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, 6731019 + ... + 9250581.

It is an arithmetic number, because the mean of its divisors is an integer number (537528822888).

Almost surely, 2^{20133324020400} is an apocalyptic number.

20133324020400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20133324020400 is an abundant number, since it is smaller than the sum of its proper divisors (44370134726160).

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

20133324020400 is a wasteful number, since it uses less digits than its factorization.

20133324020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526243 (or 2526232 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 20133324020400 its reverse (402042333102), we get a palindrome (20535366353502).

The spelling of 20133324020400 in words is "twenty trillion, one hundred thirty-three billion, three hundred twenty-four million, twenty thousand, four hundred".