41974986493440 has 3840 divisors, whose sum is σ = 204311043256320. Its totient is φ = 7681490288640.

The previous prime is 41974986493399. The next prime is 41974986493459. The reversal of 41974986493440 is 4439468947914.

41974986493440 is a `hidden beast` number, since 4 + 1 + 9 + 7 + 4 + 98 + 6 + 4 + 93 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×41974986493440² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 64876331197 + ... + 64876331843.

It is an arithmetic number, because the mean of its divisors is an integer number (53206000848).

Almost surely, 2^{41974986493440} is an apocalyptic number.

41974986493440 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 41974986493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102155521628160).

41974986493440 is an abundant number, since it is smaller than the sum of its proper divisors (162336056762880).

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

41974986493440 is a wasteful number, since it uses less digits than its factorization.

41974986493440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 72.

The spelling of 41974986493440 in words is "forty-one trillion, nine hundred seventy-four billion, nine hundred eighty-six million, four hundred ninety-three thousand, four hundred forty".