22042151440 has 80 divisors (see below), whose sum is σ = 52252713648. Its totient is φ = 8645419008.

The previous prime is 22042151437. The next prime is 22042151459. The reversal of 22042151440 is 4415124022.

It can be written as a sum of positive squares in 8 ways, for example, as 1841783056 + 20200368384 = 42916^2 + 142128^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 999412 + ... + 1021228.

Almost surely, 2^22042151440 is an apocalyptic number.

22042151440 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 22042151440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26126356824).

22042151440 is an abundant number, since it is smaller than the sum of its proper divisors (30210562208).

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

22042151440 is a wasteful number, since it uses less digits than its factorization.

22042151440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22076 (or 22070 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 22042151440 its reverse (4415124022), we get a palindrome (26457275462).

The spelling of 22042151440 in words is "twenty-two billion, forty-two million, one hundred fifty-one thousand, four hundred forty".