4018117084320 has 96 divisors (see below), whose sum is σ = 12684525194880. Its totient is φ = 1069173539840.

The previous prime is 4018117084243. The next prime is 4018117084343. The reversal of 4018117084320 is 234807118104.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4018117084320² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8857980 + ... + 9300539.

It is an arithmetic number, because the mean of its divisors is an integer number (132130470780).

Almost surely, 2^{4018117084320} is an apocalyptic number.

4018117084320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4018117084320 is an abundant number, since it is smaller than the sum of its proper divisors (8666408110560).

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

4018117084320 is a wasteful number, since it uses less digits than its factorization.

4018117084320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18158998 (or 18158990 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The spelling of 4018117084320 in words is "four trillion, eighteen billion, one hundred seventeen million, eighty-four thousand, three hundred twenty".