41831150400 has 378 divisors, whose sum is σ = 161003654370. Its totient is φ = 10296299520.

The previous prime is 41831150377. The next prime is 41831150411. The reversal of 41831150400 is 405113814.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 15827652864 + 26003497536 = 125808^2 + 161256^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2425006 + ... + 2442194.

Almost surely, 2^41831150400 is an apocalyptic number.

41831150400 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 41831150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80501827185).

41831150400 is an abundant number, since it is smaller than the sum of its proper divisors (119172503970).

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

41831150400 is a wasteful number, since it uses less digits than its factorization.

41831150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17243 (or 17212 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 41831150400 in words is "forty-one billion, eight hundred thirty-one million, one hundred fifty thousand, four hundred".