41074858018656 has 1440 divisors, whose sum is σ = 156769844660352. Its totient is φ = 10429589237760.

The previous prime is 41074858018639. The next prime is 41074858018681. The reversal of 41074858018656 is 65681085847014.

It is a happy number.

41074858018656 is a `hidden beast` number, since 4 + 1 + 0 + 7 + 48 + 580 + 1 + 8 + 6 + 5 + 6 = 666.

41074858018656 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×41074858018656³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 41074858018593 and 41074858018602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 12823869151 + ... + 12823872353.

Almost surely, 2^{41074858018656} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41074858018656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78384922330176).

41074858018656 is an abundant number, since it is smaller than the sum of its proper divisors (115694986641696).

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

41074858018656 is a wasteful number, since it uses less digits than its factorization.

41074858018656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3454 (or 3430 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 63.

The spelling of 41074858018656 in words is "forty-one trillion, seventy-four billion, eight hundred fifty-eight million, eighteen thousand, six hundred fifty-six".