22332142401440 has 96 divisors (see below), whose sum is σ = 53661916566720. Its totient is φ = 8780143564800.

The previous prime is 22332142401433. The next prime is 22332142401493. The reversal of 22332142401440 is 4410424123322.

It is a happy number.

It is a super-2 number, since 2×22332142401440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 22332142401397 and 22332142401406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64406135 + ... + 64751945.

It is an arithmetic number, because the mean of its divisors is an integer number (558978297570).

Almost surely, 2^{22332142401440} is an apocalyptic number.

22332142401440 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 22332142401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26830958283360).

22332142401440 is an abundant number, since it is smaller than the sum of its proper divisors (31329774165280).

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

22332142401440 is a wasteful number, since it uses less digits than its factorization.

22332142401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352726 (or 352718 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 22332142401440 its reverse (4410424123322), we get a palindrome (26742566524762).

The spelling of 22332142401440 in words is "twenty-two trillion, three hundred thirty-two billion, one hundred forty-two million, four hundred one thousand, four hundred forty".