20133214400 has 168 divisors, whose sum is σ = 54106474464. Its totient is φ = 7328563200.

The previous prime is 20133214349. The next prime is 20133214483. The reversal of 20133214400 is 441233102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1469984 + ... + 1483616.

It is an arithmetic number, because the mean of its divisors is an integer number (322062348).

Almost surely, 2^20133214400 is an apocalyptic number.

20133214400 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 20133214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27053237232).

20133214400 is an abundant number, since it is smaller than the sum of its proper divisors (33973260064).

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

20133214400 is a wasteful number, since it uses less digits than its factorization.

20133214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13739 (or 13724 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 20133214400 its reverse (441233102), we get a palindrome (20574447502).

The spelling of 20133214400 in words is "twenty billion, one hundred thirty-three million, two hundred fourteen thousand, four hundred".