41652748800 has 960 divisors, whose sum is σ = 168215900160. Its totient is φ = 10032906240.

The previous prime is 41652748799. The next prime is 41652748871. The reversal of 41652748800 is 884725614.

41652748800 is a `hidden beast` number, since 4 + 1 + 6 + 527 + 48 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 327974337 + ... + 327974463.

It is an arithmetic number, because the mean of its divisors is an integer number (175224896).

Almost surely, 2^41652748800 is an apocalyptic number.

41652748800 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 41652748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84107950080).

41652748800 is an abundant number, since it is smaller than the sum of its proper divisors (126563151360).

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

41652748800 is a wasteful number, since it uses less digits than its factorization.

41652748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 41652748800 in words is "forty-one billion, six hundred fifty-two million, seven hundred forty-eight thousand, eight hundred".