21140413000 has 192 divisors, whose sum is σ = 57769012080. Its totient is φ = 7219968000.

The previous prime is 21140412991. The next prime is 21140413163. The reversal of 21140413000 is 31404112.

It can be written as a sum of positive squares in 8 ways, for example, as 1544332804 + 19596080196 = 39298^2 + 139986^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15532320 + ... + 15533680.

Almost surely, 2^21140413000 is an apocalyptic number.

21140413000 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 21140413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28884506040).

21140413000 is an abundant number, since it is smaller than the sum of its proper divisors (36628599080).

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

21140413000 is a wasteful number, since it uses less digits than its factorization.

21140413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 21140413000 its reverse (31404112), we get a palindrome (21171817112).

The spelling of 21140413000 in words is "twenty-one billion, one hundred forty million, four hundred thirteen thousand".