22414140404000 has 96 divisors (see below), whose sum is σ = 55078437344112. Its totient is φ = 8964533760000.

The previous prime is 22414140403939. The next prime is 22414140404017. The reversal of 22414140404000 is 40404141422.

It can be written as a sum of positive squares in 8 ways, for example, as 534834792976 + 21879305611024 = 731324^2 + 4677532^2 .

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 15 ways as a sum of consecutive naturals, for example, 31977290 + ... + 32670710.

Almost surely, 2^{22414140404000} is an apocalyptic number.

22414140404000 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 22414140404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27539218672056).

22414140404000 is an abundant number, since it is smaller than the sum of its proper divisors (32664296940112).

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

22414140404000 is an equidigital number, since it uses as much as digits as its factorization.

22414140404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701527 (or 701509 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 22414140404000 its reverse (40404141422), we get a palindrome (22454544545422).

The spelling of 22414140404000 in words is "twenty-two trillion, four hundred fourteen billion, one hundred forty million, four hundred four thousand".