41199013800 has 1440 divisors, whose sum is σ = 182881955520. Its totient is φ = 8534937600.

The previous prime is 41199013789. The next prime is 41199013811. The reversal of 41199013800 is 831099114.

It is an interprime number because it is at equal distance from previous prime (41199013789) and next prime (41199013811).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 580267765 + ... + 580267835.

It is an arithmetic number, because the mean of its divisors is an integer number (127001358).

Almost surely, 2^41199013800 is an apocalyptic number.

41199013800 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 41199013800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91440977760).

41199013800 is an abundant number, since it is smaller than the sum of its proper divisors (141682941720).

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

41199013800 is a wasteful number, since it uses less digits than its factorization.

41199013800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 41199013800 in words is "forty-one billion, one hundred ninety-nine million, thirteen thousand, eight hundred".