22355641153440 has 432 divisors, whose sum is σ = 88779413923200. Its totient is φ = 5107816627200.

The previous prime is 22355641153409. The next prime is 22355641153493. The reversal of 22355641153440 is 4435114655322.

22355641153440 is a `hidden beast` number, since 2 + 2 + 3 + 5 + 5 + 64 + 11 + 534 + 40 = 666.

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 71 ways as a sum of consecutive naturals, for example, 179936461 + ... + 180060659.

It is an arithmetic number, because the mean of its divisors is an integer number (205507902600).

Almost surely, 2^{22355641153440} is an apocalyptic number.

22355641153440 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 22355641153440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44389706961600).

22355641153440 is an abundant number, since it is smaller than the sum of its proper divisors (66423772769760).

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

22355641153440 is a wasteful number, since it uses less digits than its factorization.

22355641153440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126785 (or 126767 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 22355641153440 in words is "twenty-two trillion, three hundred fifty-five billion, six hundred forty-one million, one hundred fifty-three thousand, four hundred forty".