220224614400 has 780 divisors, whose sum is σ = 932548233232. Its totient is φ = 50323783680.

The previous prime is 220224614383. The next prime is 220224614417. The reversal of 220224614400 is 4416422022.

220224614400 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 2 + 4 + 614 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (220224614383) and next prime (220224614417).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 58058904 + ... + 58062696.

Almost surely, 2^220224614400 is an apocalyptic number.

220224614400 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 220224614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466274116616).

220224614400 is an abundant number, since it is smaller than the sum of its proper divisors (712323618832).

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

220224614400 is an equidigital number, since it uses as much as digits as its factorization.

220224614400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3846 (or 3810 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 220224614400 in words is "two hundred twenty billion, two hundred twenty-four million, six hundred fourteen thousand, four hundred".