41974732800 has 1944 divisors, whose sum is σ = 206569474020. Its totient is φ = 8051097600.

The previous prime is 41974732777. The next prime is 41974732801. The reversal of 41974732800 is 823747914.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41974732801) by changing a digit.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 3228825594 + ... + 3228825606.

Almost surely, 2^41974732800 is an apocalyptic number.

41974732800 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 41974732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103284737010).

41974732800 is an abundant number, since it is smaller than the sum of its proper divisors (164594741220).

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

41974732800 is a wasteful number, since it uses less digits than its factorization.

41974732800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 41974732800 in words is "forty-one billion, nine hundred seventy-four million, seven hundred thirty-two thousand, eight hundred".