41325837934080 has 640 divisors, whose sum is σ = 153168018905088. Its totient is φ = 9309645176832.

The previous prime is 41325837934061. The next prime is 41325837934097. The reversal of 41325837934080 is 8043973852314.

It is a tau number, because it is divible by the number of its divisors (640).

It is a self number, because there is not a number n which added to its sum of digits gives 41325837934080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6879610437 + ... + 6879616443.

Almost surely, 2^{41325837934080} is an apocalyptic number.

41325837934080 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 41325837934080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76584009452544).

41325837934080 is an abundant number, since it is smaller than the sum of its proper divisors (111842180971008).

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

41325837934080 is a wasteful number, since it uses less digits than its factorization.

41325837934080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7866 (or 7850 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 41325837934080 in words is "forty-one trillion, three hundred twenty-five billion, eight hundred thirty-seven million, nine hundred thirty-four thousand, eighty".