22412320013440 has 64 divisors (see below), whose sum is σ = 61233660048960. Its totient is φ = 7684224003072.

The previous prime is 22412320013423. The next prime is 22412320013467. The reversal of 22412320013440 is 4431002321422.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 22412320013399 and 22412320013408.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2501370522 + ... + 2501379481.

It is an arithmetic number, because the mean of its divisors is an integer number (956775938265).

Almost surely, 2^{22412320013440} is an apocalyptic number.

22412320013440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22412320013440 is an abundant number, since it is smaller than the sum of its proper divisors (38821340035520).

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

22412320013440 is an equidigital number, since it uses as much as digits as its factorization.

22412320013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5002750029 (or 5002750017 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 22412320013440 its reverse (4431002321422), we get a palindrome (26843322334862).

The spelling of 22412320013440 in words is "twenty-two trillion, four hundred twelve billion, three hundred twenty million, thirteen thousand, four hundred forty".