21432000400 has 30 divisors (see below), whose sum is σ = 51490381922. Its totient is φ = 8572800000.

The previous prime is 21432000349. The next prime is 21432000481. The reversal of 21432000400 is 400023412.

It can be written as a sum of positive squares in 3 ways, for example, as 754710784 + 20677289616 = 27472^2 + 143796^2 .

It is a super-2 number, since 2×21432000400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26789601 + ... + 26790400.

Almost surely, 2^21432000400 is an apocalyptic number.

21432000400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21432000400 is an abundant number, since it is smaller than the sum of its proper divisors (30058381522).

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

21432000400 is a wasteful number, since it uses less digits than its factorization.

21432000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53580019 (or 53580008 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 21432000400 its reverse (400023412), we get a palindrome (21832023812).

The spelling of 21432000400 in words is "twenty-one billion, four hundred thirty-two million, four hundred", and thus it is an aban number.