4472864997120 has 1152 divisors, whose sum is σ = 17511549753600. Its totient is φ = 1087853690880.

The previous prime is 4472864997113. The next prime is 4472864997127. The reversal of 4472864997120 is 217994682744.

4472864997120 is a `hidden beast` number, since 4 + 4 + 72 + 8 + 6 + 499 + 71 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4472864997113) and next prime (4472864997127).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×4472864997120² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4472864997127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3238858830 + ... + 3238860210.

It is an arithmetic number, because the mean of its divisors is an integer number (15200998050).

Almost surely, 2^{4472864997120} is an apocalyptic number.

4472864997120 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 4472864997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8755774876800).

4472864997120 is an abundant number, since it is smaller than the sum of its proper divisors (13038684756480).

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

4472864997120 is an equidigital number, since it uses as much as digits as its factorization.

4472864997120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 4472864997120 in words is "four trillion, four hundred seventy-two billion, eight hundred sixty-four million, nine hundred ninety-seven thousand, one hundred twenty".