21440511312 has 320 divisors, whose sum is σ = 64936415232. Its totient is φ = 6031872000.

The previous prime is 21440511311. The next prime is 21440511317. The reversal of 21440511312 is 21311504412.

It is a super-2 number, since 2×21440511312² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21440511311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76300612 + ... + 76300892.

Almost surely, 2^21440511312 is an apocalyptic number.

21440511312 is a gapful number since it is divisible by the number (22) 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 21440511312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32468207616).

21440511312 is an abundant number, since it is smaller than the sum of its proper divisors (43495903920).

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

21440511312 is a wasteful number, since it uses less digits than its factorization.

21440511312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 21440511312 in words is "twenty-one billion, four hundred forty million, five hundred eleven thousand, three hundred twelve".