41796182400 has 384 divisors, whose sum is σ = 159344563200. Its totient is φ = 9431285760.

The previous prime is 41796182353. The next prime is 41796182431. The reversal of 41796182400 is 428169714.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 47 ways as a sum of consecutive naturals, for example, 5304864 + ... + 5312736.

It is an arithmetic number, because the mean of its divisors is an integer number (414959800).

Almost surely, 2^41796182400 is an apocalyptic number.

41796182400 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 41796182400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79672281600).

41796182400 is an abundant number, since it is smaller than the sum of its proper divisors (117548380800).

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

41796182400 is a wasteful number, since it uses less digits than its factorization.

41796182400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7986 (or 7969 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 41796182400 in words is "forty-one billion, seven hundred ninety-six million, one hundred eighty-two thousand, four hundred".