41838022800 has 1350 divisors, whose sum is σ = 186870311298. Its totient is φ = 8935557120.

The previous prime is 41838022769. The next prime is 41838022823. The reversal of 41838022800 is 822083814.

It is a happy number.

41838022800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 3301191936 + 38536830864 = 57456^2 + 196308^2 .

It is a tau number, because it is divible by the number of its divisors (1350).

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

It is an unprimeable number.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 573123564 + ... + 573123636.

Almost surely, 2^41838022800 is an apocalyptic number.

41838022800 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 41838022800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93435155649).

41838022800 is an abundant number, since it is smaller than the sum of its proper divisors (145032288498).

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

41838022800 is a wasteful number, since it uses less digits than its factorization.

41838022800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 41838022800 in words is "forty-one billion, eight hundred thirty-eight million, twenty-two thousand, eight hundred".