41190768000 has 640 divisors, whose sum is σ = 157301258400. Its totient is φ = 10674892800.

The previous prime is 41190767987. The next prime is 41190768041. The reversal of 41190768000 is 86709114.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 47951571 + ... + 47952429.

Almost surely, 2^41190768000 is an apocalyptic number.

41190768000 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 41190768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78650629200).

41190768000 is an abundant number, since it is smaller than the sum of its proper divisors (116110490400).

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

41190768000 is an equidigital number, since it uses as much as digits as its factorization.

41190768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 41190768000 in words is "forty-one billion, one hundred ninety million, seven hundred sixty-eight thousand".