41455568000 has 1152 divisors, whose sum is σ = 144754646400. Its totient is φ = 11708928000.

The previous prime is 41455567987. The next prime is 41455568003. The reversal of 41455568000 is 86555414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41455568003) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1802415989 + ... + 1802416011.

It is an arithmetic number, because the mean of its divisors is an integer number (125655075).

Almost surely, 2^41455568000 is an apocalyptic number.

41455568000 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 41455568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72377323200).

41455568000 is an abundant number, since it is smaller than the sum of its proper divisors (103299078400).

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

41455568000 is a wasteful number, since it uses less digits than its factorization.

41455568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 38.

The spelling of 41455568000 in words is "forty-one billion, four hundred fifty-five million, five hundred sixty-eight thousand".