21335811937440 has 1536 divisors, whose sum is σ = 94342761676800. Its totient is φ = 3906876948480.

The previous prime is 21335811937421. The next prime is 21335811937483. The reversal of 21335811937440 is 4473911853312.

It is a super-3 number, since 3×21335811937440³ (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6840592201 + ... + 6840595319.

It is an arithmetic number, because the mean of its divisors is an integer number (61421068800).

Almost surely, 2^{21335811937440} is an apocalyptic number.

21335811937440 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 21335811937440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47171380838400).

21335811937440 is an abundant number, since it is smaller than the sum of its proper divisors (73006949739360).

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

21335811937440 is a wasteful number, since it uses less digits than its factorization.

21335811937440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3810 (or 3802 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 21335811937440 in words is "twenty-one trillion, three hundred thirty-five billion, eight hundred eleven million, nine hundred thirty-seven thousand, four hundred forty".