41293845976680 has 512 divisors, whose sum is σ = 153677564928000. Its totient is φ = 9778250327040.

The previous prime is 41293845976667. The next prime is 41293845976687. The reversal of 41293845976680 is 8667954839214.

41293845976680 is a `hidden beast` number, since 4 + 1 + 2 + 9 + 38 + 459 + 7 + 66 + 80 = 666.

It is a super-3 number, since 3×41293845976680³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 41293845976599 and 41293845976608.

It is not an unprimeable number, because it can be changed into a prime (41293845976687) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 109856817 + ... + 110232063.

It is an arithmetic number, because the mean of its divisors is an integer number (300151494000).

It is a 1-persistent number, because it is pandigital, but 2⋅41293845976680 = 82587691953360 is not.

Almost surely, 2^{41293845976680} is an apocalyptic number.

41293845976680 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 41293845976680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76838782464000).

41293845976680 is an abundant number, since it is smaller than the sum of its proper divisors (112383718951320).

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

41293845976680 is a wasteful number, since it uses less digits than its factorization.

41293845976680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375494 (or 375484 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 41293845976680 in words is "forty-one trillion, two hundred ninety-three billion, eight hundred forty-five million, nine hundred seventy-six thousand, six hundred eighty".