224400027720960 has 1728 divisors, whose sum is σ = 988480491747840. Its totient is φ = 45733808701440.

The previous prime is 224400027720941. The next prime is 224400027721007. The reversal of 224400027720960 is 69027720004422.

It is a happy number.

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 191 ways as a sum of consecutive naturals, for example, 5391488950 + ... + 5391530570.

Almost surely, 2^{224400027720960} is an apocalyptic number.

224400027720960 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 224400027720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494240245873920).

224400027720960 is an abundant number, since it is smaller than the sum of its proper divisors (764080464026880).

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

224400027720960 is a wasteful number, since it uses less digits than its factorization.

224400027720960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41844 (or 41827 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 224400027720960 in words is "two hundred twenty-four trillion, four hundred billion, twenty-seven million, seven hundred twenty thousand, nine hundred sixty".