22341750661440 has 2240 divisors, whose sum is σ = 101118302208000. Its totient is φ = 4566763929600.

The previous prime is 22341750661427. The next prime is 22341750661511. The reversal of 22341750661440 is 4416605714322.

22341750661440 is a `hidden beast` number, since 2 + 2 + 3 + 41 + 7 + 506 + 61 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4381592011 + ... + 4381597109.

It is an arithmetic number, because the mean of its divisors is an integer number (45142099200).

Almost surely, 2^{22341750661440} is an apocalyptic number.

22341750661440 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 22341750661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50559151104000).

22341750661440 is an abundant number, since it is smaller than the sum of its proper divisors (78776551546560).

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

22341750661440 is a wasteful number, since it uses less digits than its factorization.

22341750661440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5226 (or 5207 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 22341750661440 in words is "twenty-two trillion, three hundred forty-one billion, seven hundred fifty million, six hundred sixty-one thousand, four hundred forty".