20133342210400 has 144 divisors (see below), whose sum is σ = 52378726546944. Its totient is φ = 7539293780480.

The previous prime is 20133342210389. The next prime is 20133342210413. The reversal of 20133342210400 is 401224333102.

It is a super-2 number, since 2×20133342210400² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10775662 + ... + 12505261.

It is an arithmetic number, because the mean of its divisors is an integer number (363741156576).

Almost surely, 2^{20133342210400} is an apocalyptic number.

20133342210400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20133342210400 is an abundant number, since it is smaller than the sum of its proper divisors (32245384336544).

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

20133342210400 is a wasteful number, since it uses less digits than its factorization.

20133342210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23281013 (or 23281000 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 20133342210400 its reverse (401224333102), we get a palindrome (20534566543502).

The spelling of 20133342210400 in words is "twenty trillion, one hundred thirty-three billion, three hundred forty-two million, two hundred ten thousand, four hundred".