41761972224 has 560 divisors, whose sum is σ = 147042274368. Its totient is φ = 11609505792.

The previous prime is 41761972207. The next prime is 41761972237. The reversal of 41761972224 is 42227916714.

41761972224 is a `hidden beast` number, since 4 + 1 + 7 + 619 + 7 + 2 + 2 + 24 = 666.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (338688) is a multiple of the sum of its prime divisors (49).

It is a self number, because there is not a number n which added to its sum of digits gives 41761972224.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1128701934 + ... + 1128701970.

Almost surely, 2^41761972224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41761972224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73521137184).

41761972224 is an abundant number, since it is smaller than the sum of its proper divisors (105280302144).

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

41761972224 is an frugal number, since it uses more digits than its factorization.

41761972224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 49 counting only the distinct ones).

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

The spelling of 41761972224 in words is "forty-one billion, seven hundred sixty-one million, nine hundred seventy-two thousand, two hundred twenty-four".