41000256792 has 192 divisors, whose sum is σ = 124688678400. Its totient is φ = 12063502080.

The previous prime is 41000256727. The next prime is 41000256797. The reversal of 41000256792 is 29765200014.

41000256792 is a `hidden beast` number, since 4 + 1 + 0 + 0 + 0 + 2 + 567 + 92 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41000256797) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5888209 + ... + 5895167.

It is an arithmetic number, because the mean of its divisors is an integer number (649420200).

Almost surely, 2^41000256792 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 41000256792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62344339200).

41000256792 is an abundant number, since it is smaller than the sum of its proper divisors (83688421608).

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

41000256792 is a wasteful number, since it uses less digits than its factorization.

41000256792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7198 (or 7191 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

It can be divided in two parts, 41000 and 256792, that added together give a palindrome (297792).

The spelling of 41000256792 in words is "forty-one billion, two hundred fifty-six thousand, seven hundred ninety-two".