41274417999360 has 1920 divisors, whose sum is σ = 172966019466240. Its totient is φ = 8198317670400.

The previous prime is 41274417999323. The next prime is 41274417999377. The reversal of 41274417999360 is 6399971447214.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a junction number, because it is equal to n+sod(n) for n = 41274417999291 and 41274417999300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31244827500 + ... + 31244828820.

It is an arithmetic number, because the mean of its divisors is an integer number (90086468472).

Almost surely, 2^{41274417999360} is an apocalyptic number.

41274417999360 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 41274417999360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86483009733120).

41274417999360 is an abundant number, since it is smaller than the sum of its proper divisors (131691601466880).

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

41274417999360 is a wasteful number, since it uses less digits than its factorization.

41274417999360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 66.

The spelling of 41274417999360 in words is "forty-one trillion, two hundred seventy-four billion, four hundred seventeen million, nine hundred ninety-nine thousand, three hundred sixty".