4912466227200 has 3276 divisors, whose sum is σ = 22780126398240. Its totient is φ = 1043422248960.

The previous prime is 4912466227169. The next prime is 4912466227231. The reversal of 4912466227200 is 27226642194.

4912466227200 is a `hidden beast` number, since 4 + 9 + 12 + 4 + 6 + 622 + 7 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4912466227169) and next prime (4912466227231).

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 251 ways as a sum of consecutive naturals, for example, 62183116761 + ... + 62183116839.

Almost surely, 2^{4912466227200} is an apocalyptic number.

4912466227200 is a gapful number since it is divisible by the number (40) 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 4912466227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11390063199120).

4912466227200 is an abundant number, since it is smaller than the sum of its proper divisors (17867660171040).

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

4912466227200 is an equidigital number, since it uses as much as digits as its factorization.

4912466227200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 4912466227200 in words is "four trillion, nine hundred twelve billion, four hundred sixty-six million, two hundred twenty-seven thousand, two hundred".