224141139840 has 128 divisors (see below), whose sum is σ = 717168038400. Its totient is φ = 59543570432.

The previous prime is 224141139779. The next prime is 224141139851. The reversal of 224141139840 is 48931141422.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283021 + ... + 726899.

It is an arithmetic number, because the mean of its divisors is an integer number (5602875300).

Almost surely, 2^224141139840 is an apocalyptic number.

224141139840 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 224141139840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358584019200).

224141139840 is an abundant number, since it is smaller than the sum of its proper divisors (493026898560).

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

224141139840 is a wasteful number, since it uses less digits than its factorization.

224141139840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444164 (or 444152 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 224141139840 in words is "two hundred twenty-four billion, one hundred forty-one million, one hundred thirty-nine thousand, eight hundred forty".