22141210300440 has 512 divisors, whose sum is σ = 90708931123200. Its totient is φ = 4180821442560.

The previous prime is 22141210300439. The next prime is 22141210300477. The reversal of 22141210300440 is 4400301214122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22141210300440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2125062 + ... + 6985578.

It is an arithmetic number, because the mean of its divisors is an integer number (177165881100).

Almost surely, 2^{22141210300440} is an apocalyptic number.

22141210300440 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 22141210300440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45354465561600).

22141210300440 is an abundant number, since it is smaller than the sum of its proper divisors (68567720822760).

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

22141210300440 is a wasteful number, since it uses less digits than its factorization.

22141210300440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4860595 (or 4860591 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 22141210300440 its reverse (4400301214122), we get a palindrome (26541511514562).

It can be divided in two parts, 22141210 and 300440, that added together give a triangular number (22441650 = T₆₆₉₉).

The spelling of 22141210300440 in words is "twenty-two trillion, one hundred forty-one billion, two hundred ten million, three hundred thousand, four hundred forty".