41772840800 has 72 divisors (see below), whose sum is σ = 102130791336. Its totient is φ = 16684093440.

The previous prime is 41772840797. The next prime is 41772840803. The reversal of 41772840800 is 804827714.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (41772840797) and next prime (41772840803).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41772840803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 499607 + ... + 577193.

It is an arithmetic number, because the mean of its divisors is an integer number (1418483213).

Almost surely, 2^41772840800 is an apocalyptic number.

41772840800 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 41772840800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51065395668).

41772840800 is an abundant number, since it is smaller than the sum of its proper divisors (60357950536).

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

41772840800 is a wasteful number, since it uses less digits than its factorization.

41772840800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78280 (or 78267 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 41.

The spelling of 41772840800 in words is "forty-one billion, seven hundred seventy-two million, eight hundred forty thousand, eight hundred".