41752116960 has 384 divisors, whose sum is σ = 147436692480. Its totient is φ = 9869819904.

The previous prime is 41752116949. The next prime is 41752116983. The reversal of 41752116960 is 6961125714.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30542197 + ... + 30543563.

It is an arithmetic number, because the mean of its divisors is an integer number (383949720).

Almost surely, 2^41752116960 is an apocalyptic number.

41752116960 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 41752116960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73718346240).

41752116960 is an abundant number, since it is smaller than the sum of its proper divisors (105684575520).

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

41752116960 is a wasteful number, since it uses less digits than its factorization.

41752116960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 41752116960 in words is "forty-one billion, seven hundred fifty-two million, one hundred sixteen thousand, nine hundred sixty".