41119302960 has 240 divisors, whose sum is σ = 146997957600. Its totient is φ = 10271010816.

The previous prime is 41119302901. The next prime is 41119302967. The reversal of 41119302960 is 6920391114.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 (41119302967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1200634 + ... + 1234406.

It is an arithmetic number, because the mean of its divisors is an integer number (612491490).

Almost surely, 2^41119302960 is an apocalyptic number.

41119302960 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 41119302960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73498978800).

41119302960 is an abundant number, since it is smaller than the sum of its proper divisors (105878654640).

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

41119302960 is a wasteful number, since it uses less digits than its factorization.

41119302960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33900 (or 33891 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 41119302960 in words is "forty-one billion, one hundred nineteen million, three hundred two thousand, nine hundred sixty".