22140042002304 has 128 divisors (see below), whose sum is σ = 60181615190400. Its totient is φ = 7207850797056.

The previous prime is 22140042002303. The next prime is 22140042002321. The reversal of 22140042002304 is 40320024004122.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22140042002303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 265289607 + ... + 265373049.

It is an arithmetic number, because the mean of its divisors is an integer number (470168868675).

Almost surely, 2^{22140042002304} is an apocalyptic number.

22140042002304 is a gapful number since it is divisible by the number (24) 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 22140042002304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30090807595200).

22140042002304 is an abundant number, since it is smaller than the sum of its proper divisors (38041573188096).

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

22140042002304 is a wasteful number, since it uses less digits than its factorization.

22140042002304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99572 (or 99560 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 22140042002304 its reverse (40320024004122), we get a palindrome (62460066006426).

The spelling of 22140042002304 in words is "twenty-two trillion, one hundred forty billion, forty-two million, two thousand, three hundred four".