4496085357120 has 672 divisors, whose sum is σ = 18265586227200. Its totient is φ = 993350615040.

The previous prime is 4496085357109. The next prime is 4496085357143. The reversal of 4496085357120 is 217535806944.

It is a happy number.

4496085357120 is a `hidden beast` number, since 4 + 4 + 9 + 60 + 8 + 5 + 3 + 571 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 595583106 + ... + 595590654.

It is a 1-persistent number, because it is pandigital, but 2⋅4496085357120 = 8992170714240 is not.

Almost surely, 2^{4496085357120} is an apocalyptic number.

4496085357120 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 4496085357120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9132793113600).

4496085357120 is an abundant number, since it is smaller than the sum of its proper divisors (13769500870080).

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

4496085357120 is a wasteful number, since it uses less digits than its factorization.

4496085357120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8563 (or 8550 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 4496085357120 in words is "four trillion, four hundred ninety-six billion, eighty-five million, three hundred fifty-seven thousand, one hundred twenty".