22409891129440 has 96 divisors (see below), whose sum is σ = 53136907860960. Its totient is φ = 8931193958400.

The previous prime is 22409891129419. The next prime is 22409891129447. The reversal of 22409891129440 is 4492119890422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22409891129447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 678474846 + ... + 678507874.

It is an arithmetic number, because the mean of its divisors is an integer number (553509456885).

Almost surely, 2^{22409891129440} is an apocalyptic number.

22409891129440 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 22409891129440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26568453930480).

22409891129440 is an abundant number, since it is smaller than the sum of its proper divisors (30727016731520).

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

22409891129440 is a wasteful number, since it uses less digits than its factorization.

22409891129440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48416 (or 48408 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 55.

The spelling of 22409891129440 in words is "twenty-two trillion, four hundred nine billion, eight hundred ninety-one million, one hundred twenty-nine thousand, four hundred forty".