41013884201472 has 2880 divisors, whose sum is σ = 166881043929600. Its totient is φ = 9551326740480.

The previous prime is 41013884201413. The next prime is 41013884201483. The reversal of 41013884201472 is 27410248831014.

41013884201472 is a `hidden beast` number, since 4 + 1 + 0 + 1 + 3 + 88 + 420 + 147 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 171606209929 + ... + 171606210167.

It is an arithmetic number, because the mean of its divisors is an integer number (57944806920).

Almost surely, 2^{41013884201472} is an apocalyptic number.

41013884201472 is a gapful number since it is divisible by the number (42) 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 41013884201472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83440521964800).

41013884201472 is an abundant number, since it is smaller than the sum of its proper divisors (125867159728128).

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

41013884201472 is a wasteful number, since it uses less digits than its factorization.

41013884201472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 41013884201472 in words is "forty-one trillion, thirteen billion, eight hundred eighty-four million, two hundred one thousand, four hundred seventy-two".