41504835456 has 768 divisors, whose sum is σ = 152076288000. Its totient is φ = 11004844032.

The previous prime is 41504835451. The next prime is 41504835457. The reversal of 41504835456 is 65453840514.

41504835456 is a `hidden beast` number, since 4 + 150 + 48 + 3 + 5 + 456 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41504835451) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 326809665 + ... + 326809791.

It is an arithmetic number, because the mean of its divisors is an integer number (198016000).

Almost surely, 2^41504835456 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 41504835456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76038144000).

41504835456 is an abundant number, since it is smaller than the sum of its proper divisors (110571452544).

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

41504835456 is a wasteful number, since it uses less digits than its factorization.

41504835456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 41504835456 in words is "forty-one billion, five hundred four million, eight hundred thirty-five thousand, four hundred fifty-six".