21300254040 has 256 divisors, whose sum is σ = 73029237120. Its totient is φ = 4923555840.

The previous prime is 21300254021. The next prime is 21300254081. The reversal of 21300254040 is 4045200312.

It is a junction number, because it is equal to n+sod(n) for n = 21300253998 and 21300254016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20075110 + ... + 20076170.

Almost surely, 2^21300254040 is an apocalyptic number.

21300254040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21300254040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36514618560).

21300254040 is an abundant number, since it is smaller than the sum of its proper divisors (51728983080).

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

21300254040 is a wasteful number, since it uses less digits than its factorization.

21300254040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1862 (or 1858 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 21300254040 its reverse (4045200312), we get a palindrome (25345454352).

The spelling of 21300254040 in words is "twenty-one billion, three hundred million, two hundred fifty-four thousand, forty".