4459395612672 has 1836 divisors, whose sum is σ = 17915809779504. Its totient is φ = 1056304005120.

The previous prime is 4459395612667. The next prime is 4459395612701. The reversal of 4459395612672 is 2762165939544.

It is a happy number.

4459395612672 is a `hidden beast` number, since 4 + 4 + 5 + 9 + 3 + 9 + 5 + 612 + 6 + 7 + 2 = 666.

It is a super-3 number, since 3×4459395612672³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 53727657943 + ... + 53727658025.

Almost surely, 2^{4459395612672} is an apocalyptic number.

4459395612672 is a gapful number since it is divisible by the number (42) 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 4459395612672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8957904889752).

4459395612672 is an abundant number, since it is smaller than the sum of its proper divisors (13456414166832).

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

4459395612672 is a wasteful number, since it uses less digits than its factorization.

4459395612672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 119 counting only the distinct ones).

The product of its digits is 97977600, while the sum is 63.

The spelling of 4459395612672 in words is "four trillion, four hundred fifty-nine billion, three hundred ninety-five million, six hundred twelve thousand, six hundred seventy-two".