21433100400 has 90 divisors (see below), whose sum is σ = 74378824520. Its totient is φ = 5715492480.

The previous prime is 21433100399. The next prime is 21433100401. The reversal of 21433100400 is 400133412.

It is an interprime number because it is at equal distance from previous prime (21433100399) and next prime (21433100401).

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21433100401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2973220 + ... + 2980419.

Almost surely, 2^21433100400 is an apocalyptic number.

21433100400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21433100400 is an abundant number, since it is smaller than the sum of its proper divisors (52945724120).

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

21433100400 is a wasteful number, since it uses less digits than its factorization.

21433100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5953663 (or 5953649 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21433100400 its reverse (400133412), we get a palindrome (21833233812).

The spelling of 21433100400 in words is "twenty-one billion, four hundred thirty-three million, one hundred thousand, four hundred".