224641260480 has 672 divisors, whose sum is σ = 914390636544. Its totient is φ = 46289166336.

The previous prime is 224641260457. The next prime is 224641260491. The reversal of 224641260480 is 84062146422.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26291089 + ... + 26299631.

It is an arithmetic number, because the mean of its divisors is an integer number (1360700352).

Almost surely, 2^224641260480 is an apocalyptic number.

224641260480 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 224641260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457195318272).

224641260480 is an abundant number, since it is smaller than the sum of its proper divisors (689749376064).

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

224641260480 is a wasteful number, since it uses less digits than its factorization.

224641260480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8633 (or 8616 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The spelling of 224641260480 in words is "two hundred twenty-four billion, six hundred forty-one million, two hundred sixty thousand, four hundred eighty".