41290393256112 has 960 divisors, whose sum is σ = 149306056245248. Its totient is φ = 9557997926400.

The previous prime is 41290393255963. The next prime is 41290393256129. The reversal of 41290393256112 is 21165239309214.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7585959663 + ... + 7585965105.

Almost surely, 2^{41290393256112} is an apocalyptic number.

41290393256112 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 41290393256112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74653028122624).

41290393256112 is an abundant number, since it is smaller than the sum of its proper divisors (108015662989136).

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

41290393256112 is a wasteful number, since it uses less digits than its factorization.

41290393256112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5990 (or 5973 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The spelling of 41290393256112 in words is "forty-one trillion, two hundred ninety billion, three hundred ninety-three million, two hundred fifty-six thousand, one hundred twelve".