4113757273056 has 192 divisors, whose sum is σ = 11534048773632. Its totient is φ = 1280698417152.

The previous prime is 4113757273049. The next prime is 4113757273097. The reversal of 4113757273056 is 6503727573114.

It is a super-2 number, since 2×4113757273056² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 394297216 + ... + 394307648.

It is an arithmetic number, because the mean of its divisors is an integer number (60073170696).

Almost surely, 2^{4113757273056} is an apocalyptic number.

4113757273056 is a gapful number since it is divisible by the number (46) 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 4113757273056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5767024386816).

4113757273056 is an abundant number, since it is smaller than the sum of its proper divisors (7420291500576).

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

4113757273056 is a wasteful number, since it uses less digits than its factorization.

4113757273056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14665 (or 14657 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 51.

The spelling of 4113757273056 in words is "four trillion, one hundred thirteen billion, seven hundred fifty-seven million, two hundred seventy-three thousand, fifty-six".