41256520800 has 288 divisors, whose sum is σ = 147253075200. Its totient is φ = 9950054400.

The previous prime is 41256520769. The next prime is 41256520843. The reversal of 41256520800 is 802565214.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5249674 + ... + 5257526.

It is an arithmetic number, because the mean of its divisors is an integer number (511295400).

Almost surely, 2^41256520800 is an apocalyptic number.

41256520800 is a gapful number since it is divisible by the number (40) 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 41256520800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73626537600).

41256520800 is an abundant number, since it is smaller than the sum of its proper divisors (105996554400).

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

41256520800 is a wasteful number, since it uses less digits than its factorization.

41256520800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8086 (or 8073 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The spelling of 41256520800 in words is "forty-one billion, two hundred fifty-six million, five hundred twenty thousand, eight hundred".