4113413176320 has 2200 divisors, whose sum is σ = 18282260955024. Its totient is φ = 884902330368.

The previous prime is 4113413176283. The next prime is 4113413176333. The reversal of 4113413176320 is 236713143114.

4113413176320 is a `hidden beast` number, since 4 + 1 + 1 + 3 + 4 + 1 + 3 + 17 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 241965480952 + ... + 241965480968.

Almost surely, 2^{4113413176320} is an apocalyptic number.

4113413176320 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 4113413176320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9141130477512).

4113413176320 is an abundant number, since it is smaller than the sum of its proper divisors (14168847778704).

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

4113413176320 is an frugal number, since it uses more digits than its factorization.

4113413176320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 4113413176320 in words is "four trillion, one hundred thirteen billion, four hundred thirteen million, one hundred seventy-six thousand, three hundred twenty".