21430542400 has 42 divisors (see below), whose sum is σ = 52732532330. Its totient is φ = 8572216320.

The previous prime is 21430542391. The next prime is 21430542407. The reversal of 21430542400 is 424503412.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2233885696 + 19196656704 = 47264^2 + 138552^2 .

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

It is not an unprimeable number, because it can be changed into a prime (21430542407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6695445 + ... + 6698644.

Almost surely, 2^21430542400 is an apocalyptic number.

21430542400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21430542400 is an abundant number, since it is smaller than the sum of its proper divisors (31301989930).

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

21430542400 is a wasteful number, since it uses less digits than its factorization.

21430542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13394111 (or 13394096 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The spelling of 21430542400 in words is "twenty-one billion, four hundred thirty million, five hundred forty-two thousand, four hundred".