21013230040400 has 120 divisors (see below), whose sum is σ = 54370368302880. Its totient is φ = 7758349125120.

The previous prime is 21013230040393. The next prime is 21013230040403. The reversal of 21013230040400 is 404003231012.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21013230040403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119319611 + ... + 119495589.

It is an arithmetic number, because the mean of its divisors is an integer number (453086402524).

Almost surely, 2^{21013230040400} is an apocalyptic number.

21013230040400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21013230040400 is an abundant number, since it is smaller than the sum of its proper divisors (33357138262480).

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

21013230040400 is a wasteful number, since it uses less digits than its factorization.

21013230040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198973 (or 198962 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 21013230040400 its reverse (404003231012), we get a palindrome (21417233271412).

The spelling of 21013230040400 in words is "twenty-one trillion, thirteen billion, two hundred thirty million, forty thousand, four hundred".