21200414240 has 24 divisors (see below), whose sum is σ = 50085979020. Its totient is φ = 8480165632.

The previous prime is 21200414219. The next prime is 21200414251. The reversal of 21200414240 is 4241400212.

It can be written as a sum of positive squares in 2 ways, for example, as 21172578064 + 27836176 = 145508^2 + 5276^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 66251135 + ... + 66251454.

Almost surely, 2^21200414240 is an apocalyptic number.

21200414240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21200414240 is an abundant number, since it is smaller than the sum of its proper divisors (28885564780).

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

21200414240 is a wasteful number, since it uses less digits than its factorization.

21200414240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132502604 (or 132502596 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 21200414240 its reverse (4241400212), we get a palindrome (25441814452).

The spelling of 21200414240 in words is "twenty-one billion, two hundred million, four hundred fourteen thousand, two hundred forty".