41345261298432 has 1728 divisors, whose sum is σ = 160868163456000. Its totient is φ = 10284732186624.

The previous prime is 41345261298403. The next prime is 41345261298437. The reversal of 41345261298432 is 23489216254314.

41345261298432 is a `hidden beast` number, since 4 + 1 + 3 + 4 + 526 + 1 + 2 + 9 + 84 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 (41345261298437) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28933002294 + ... + 28933003722.

It is an arithmetic number, because the mean of its divisors is an integer number (93095002000).

Almost surely, 2^{41345261298432} is an apocalyptic number.

41345261298432 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 41345261298432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80434081728000).

41345261298432 is an abundant number, since it is smaller than the sum of its proper divisors (119522902157568).

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

41345261298432 is a wasteful number, since it uses less digits than its factorization.

41345261298432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768 (or 1742 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 41345261298432 in words is "forty-one trillion, three hundred forty-five billion, two hundred sixty-one million, two hundred ninety-eight thousand, four hundred thirty-two".