21264362663040 has 864 divisors, whose sum is σ = 88698443593500. Its totient is φ = 4860378722304.

The previous prime is 21264362662937. The next prime is 21264362663051. The reversal of 21264362663040 is 4036626346212.

21264362663040 is a `hidden beast` number, since 2 + 1 + 2 + 6 + 4 + 3 + 6 + 2 + 6 + 630 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19639716715584 + 1624645947456 = 4431672^2 + 1274616^2 .

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 205701286 + ... + 205804634.

Almost surely, 2^{21264362663040} is an apocalyptic number.

21264362663040 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 21264362663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44349221796750).

21264362663040 is an abundant number, since it is smaller than the sum of its proper divisors (67434080930460).

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

21264362663040 is an frugal number, since it uses more digits than its factorization.

21264362663040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103406 (or 103366 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 21264362663040 in words is "twenty-one trillion, two hundred sixty-four billion, three hundred sixty-two million, six hundred sixty-three thousand, forty".