224340399360 has 3456 divisors, whose sum is σ = 1157093683200. Its totient is φ = 40131624960.

The previous prime is 224340399317. The next prime is 224340399383. The reversal of 224340399360 is 63993043422.

224340399360 is a `hidden beast` number, since 2 + 243 + 40 + 3 + 9 + 9 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×224340399360² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7735875826 + ... + 7735875854.

It is an arithmetic number, because the mean of its divisors is an integer number (334807200).

Almost surely, 2^224340399360 is an apocalyptic number.

224340399360 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 224340399360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578546841600).

224340399360 is an abundant number, since it is smaller than the sum of its proper divisors (932753283840).

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

224340399360 is a wasteful number, since it uses less digits than its factorization.

224340399360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The spelling of 224340399360 in words is "two hundred twenty-four billion, three hundred forty million, three hundred ninety-nine thousand, three hundred sixty".