22151321440 has 96 divisors (see below), whose sum is σ = 52705610496. Its totient is φ = 8797593600.

The previous prime is 22151321429. The next prime is 22151321447. The reversal of 22151321440 is 4412315122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22151321447) 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, 21443164 + ... + 21444196.

It is an arithmetic number, because the mean of its divisors is an integer number (549016776).

Almost surely, 2^22151321440 is an apocalyptic number.

22151321440 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 22151321440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26352805248).

22151321440 is an abundant number, since it is smaller than the sum of its proper divisors (30554289056).

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

22151321440 is a wasteful number, since it uses less digits than its factorization.

22151321440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1872 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 22151321440 its reverse (4412315122), we get a palindrome (26563636562).

The spelling of 22151321440 in words is "twenty-two billion, one hundred fifty-one million, three hundred twenty-one thousand, four hundred forty".