22431441241000 has 256 divisors, whose sum is σ = 58430478712320. Its totient is φ = 7991827200000.

The previous prime is 22431441240973. The next prime is 22431441241007. The reversal of 22431441241000 is 14214413422.

It is a super-2 number, since 2×22431441241000² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22431441241000.

It is not an unprimeable number, because it can be changed into a prime (22431441241007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121160502 + ... + 121345498.

It is an arithmetic number, because the mean of its divisors is an integer number (228244057470).

Almost surely, 2^{22431441241000} is an apocalyptic number.

22431441241000 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 22431441241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29215239356160).

22431441241000 is an abundant number, since it is smaller than the sum of its proper divisors (35999037471320).

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

22431441241000 is a wasteful number, since it uses less digits than its factorization.

22431441241000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185253 (or 185239 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 22431441241000 its reverse (14214413422), we get a palindrome (22445655654422).

The spelling of 22431441241000 in words is "twenty-two trillion, four hundred thirty-one billion, four hundred forty-one million, two hundred forty-one thousand".