41381726400 has 2016 divisors, whose sum is σ = 198107320320. Its totient is φ = 7962624000.

The previous prime is 41381726329. The next prime is 41381726401. The reversal of 41381726400 is 462718314.

41381726400 is a `hidden beast` number, since 4 + 1 + 3 + 8 + 1 + 7 + 2 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is not an unprimeable number, because it can be changed into a prime (41381726401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1009310380 + ... + 1009310420.

It is an arithmetic number, because the mean of its divisors is an integer number (98267520).

Almost surely, 2^41381726400 is an apocalyptic number.

41381726400 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 41381726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99053660160).

41381726400 is an abundant number, since it is smaller than the sum of its proper divisors (156725593920).

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

41381726400 is a wasteful number, since it uses less digits than its factorization.

41381726400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 41381726400 in words is "forty-one billion, three hundred eighty-one million, seven hundred twenty-six thousand, four hundred".