41339820960 has 288 divisors, whose sum is σ = 152661075840. Its totient is φ = 10544421888.

The previous prime is 41339820947. The next prime is 41339820961. The reversal of 41339820960 is 6902893314.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (41339820961) 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, 871126 + ... + 917354.

It is an arithmetic number, because the mean of its divisors is an integer number (530073180).

Almost surely, 2^41339820960 is an apocalyptic number.

41339820960 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 41339820960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76330537920).

41339820960 is an abundant number, since it is smaller than the sum of its proper divisors (111321254880).

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

41339820960 is a wasteful number, since it uses less digits than its factorization.

41339820960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46282 (or 46262 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 41339820960 in words is "forty-one billion, three hundred thirty-nine million, eight hundred twenty thousand, nine hundred sixty".