41513191200 has 1152 divisors, whose sum is σ = 176388710400. Its totient is φ = 9331200000.

The previous prime is 41513191141. The next prime is 41513191261. The reversal of 41513191200 is 219131514.

It is a happy number.

41513191200 is a `hidden beast` number, since 41 + 513 + 1 + 91 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 165391075 + ... + 165391325.

It is an arithmetic number, because the mean of its divisors is an integer number (153115200).

Almost surely, 2^41513191200 is an apocalyptic number.

41513191200 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 41513191200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88194355200).

41513191200 is an abundant number, since it is smaller than the sum of its proper divisors (134875519200).

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

41513191200 is a wasteful number, since it uses less digits than its factorization.

41513191200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 41513191200 in words is "forty-one billion, five hundred thirteen million, one hundred ninety-one thousand, two hundred".