41760005974272 has 1440 divisors, whose sum is σ = 138008216586240. Its totient is φ = 12517616517120.

The previous prime is 41760005974213. The next prime is 41760005974277. The reversal of 41760005974272 is 27247950006714.

41760005974272 is a `hidden beast` number, since 4 + 1 + 7 + 6 + 0 + 0 + 0 + 597 + 42 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (41760005974277) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 107352200254 + ... + 107352200642.

It is an arithmetic number, because the mean of its divisors is an integer number (95839039296).

Almost surely, 2^{41760005974272} 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 41760005974272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69004108293120).

41760005974272 is an abundant number, since it is smaller than the sum of its proper divisors (96248210611968).

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

41760005974272 is a wasteful number, since it uses less digits than its factorization.

41760005974272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 41760005974272 in words is "forty-one trillion, seven hundred sixty billion, five million, nine hundred seventy-four thousand, two hundred seventy-two".