4959609201792 has 320 divisors, whose sum is σ = 16872811391040. Its totient is φ = 1416647854080.

The previous prime is 4959609201773. The next prime is 4959609201853. The reversal of 4959609201792 is 2971029069594.

4959609201792 is a `hidden beast` number, since 4 + 9 + 5 + 9 + 609 + 2 + 0 + 17 + 9 + 2 = 666.

It is a super-2 number, since 2×4959609201792² (a number of 26 digits) contains 22 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 39 ways as a sum of consecutive naturals, for example, 370638942 + ... + 370652322.

It is an arithmetic number, because the mean of its divisors is an integer number (52727535597).

Almost surely, 2^{4959609201792} is an apocalyptic number.

4959609201792 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 4959609201792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8436405695520).

4959609201792 is an abundant number, since it is smaller than the sum of its proper divisors (11913202189248).

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

4959609201792 is a wasteful number, since it uses less digits than its factorization.

4959609201792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18521 (or 18500 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 63.

The spelling of 4959609201792 in words is "four trillion, nine hundred fifty-nine billion, six hundred nine million, two hundred one thousand, seven hundred ninety-two".