22234401145440 has 768 divisors, whose sum is σ = 88742118205440. Its totient is φ = 5146721648640.

The previous prime is 22234401145403. The next prime is 22234401145471. The reversal of 22234401145440 is 4454110443222.

22234401145440 is a `hidden beast` number, since 2 + 2 + 2 + 34 + 40 + 1 + 145 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22234401145395 and 22234401145404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 630620292 + ... + 630655548.

It is an arithmetic number, because the mean of its divisors is an integer number (115549633080).

Almost surely, 2^{22234401145440} is an apocalyptic number.

22234401145440 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 22234401145440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44371059102720).

22234401145440 is an abundant number, since it is smaller than the sum of its proper divisors (66507717060000).

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

22234401145440 is a wasteful number, since it uses less digits than its factorization.

22234401145440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35892 (or 35878 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 22234401145440 its reverse (4454110443222), we get a palindrome (26688511588662).

The spelling of 22234401145440 in words is "twenty-two trillion, two hundred thirty-four billion, four hundred one million, one hundred forty-five thousand, four hundred forty".