22411533440 has 128 divisors (see below), whose sum is σ = 55171836720. Its totient is φ = 8699166720.

The previous prime is 22411533437. The next prime is 22411533499. The reversal of 22411533440 is 4433511422.

It can be written as a sum of positive squares in 8 ways, for example, as 12834170944 + 9577362496 = 113288^2 + 97864^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×22411533440² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10915454 + ... + 10917506.

Almost surely, 2^22411533440 is an apocalyptic number.

22411533440 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 22411533440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27585918360).

22411533440 is an abundant number, since it is smaller than the sum of its proper divisors (32760303280).

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

22411533440 is a wasteful number, since it uses less digits than its factorization.

22411533440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2570 (or 2558 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The spelling of 22411533440 in words is "twenty-two billion, four hundred eleven million, five hundred thirty-three thousand, four hundred forty".