41790565025280 has 640 divisors, whose sum is σ = 149158467532800. Its totient is φ = 11090618744832.

The previous prime is 41790565025257. The next prime is 41790565025291. The reversal of 41790565025280 is 8252056509714.

41790565025280 is a `hidden beast` number, since 4 + 1 + 7 + 9 + 0 + 5 + 6 + 502 + 52 + 80 = 666.

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

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

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, 15103202457 + ... + 15103205223.

It is an arithmetic number, because the mean of its divisors is an integer number (233060105520).

Almost surely, 2^{41790565025280} is an apocalyptic number.

41790565025280 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 41790565025280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74579233766400).

41790565025280 is an abundant number, since it is smaller than the sum of its proper divisors (107367902507520).

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

41790565025280 is a wasteful number, since it uses less digits than its factorization.

41790565025280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3771 (or 3749 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 41790565025280 in words is "forty-one trillion, seven hundred ninety billion, five hundred sixty-five million, twenty-five thousand, two hundred eighty".