22133041000440 has 512 divisors, whose sum is σ = 72927993600000. Its totient is φ = 5352300011520.

The previous prime is 22133041000391. The next prime is 22133041000451. The reversal of 22133041000440 is 4400014033122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22133041000440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3855255970 + ... + 3855261710.

It is an arithmetic number, because the mean of its divisors is an integer number (142437487500).

Almost surely, 2^{22133041000440} is an apocalyptic number.

22133041000440 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 22133041000440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36463996800000).

22133041000440 is an abundant number, since it is smaller than the sum of its proper divisors (50794952599560).

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

22133041000440 is a wasteful number, since it uses less digits than its factorization.

22133041000440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6295 (or 6291 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 22133041000440 its reverse (4400014033122), we get a palindrome (26533055033562).

The spelling of 22133041000440 in words is "twenty-two trillion, one hundred thirty-three billion, forty-one million, four hundred forty", and thus it is an aban number.