21992231935440 has 960 divisors, whose sum is σ = 85427607283200. Its totient is φ = 5220748173312.

The previous prime is 21992231935397. The next prime is 21992231935579. The reversal of 21992231935440 is 4453913229912.

21992231935440 is a `hidden beast` number, since 2 + 1 + 9 + 9 + 2 + 2 + 3 + 1 + 93 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11704220421 + ... + 11704222299.

It is an arithmetic number, because the mean of its divisors is an integer number (88987090920).

Almost surely, 2^{21992231935440} is an apocalyptic number.

21992231935440 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 21992231935440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42713803641600).

21992231935440 is an abundant number, since it is smaller than the sum of its proper divisors (63435375347760).

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

21992231935440 is a wasteful number, since it uses less digits than its factorization.

21992231935440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3546 (or 3528 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 21992231935440 in words is "twenty-one trillion, nine hundred ninety-two billion, two hundred thirty-one million, nine hundred thirty-five thousand, four hundred forty".