41968450218240 has 6912 divisors, whose sum is σ = 212006688768000. Its totient is φ = 7747410198528.

The previous prime is 41968450218197. The next prime is 41968450218283. The reversal of 41968450218240 is 4281205486914.

41968450218240 is a `hidden beast` number, since 4 + 1 + 9 + 6 + 8 + 450 + 2 + 182 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (41968450218197) and next prime (41968450218283).

It is a tau number, because it is divible by the number of its divisors (6912).

It is a super-2 number, since 2×41968450218240² (a number of 28 digits) contains 22 as substring.

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 767 ways as a sum of consecutive naturals, for example, 1447187938546 + ... + 1447187938574.

It is an arithmetic number, because the mean of its divisors is an integer number (30672264000).

Almost surely, 2^{41968450218240} is an apocalyptic number.

41968450218240 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 41968450218240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106003344384000).

41968450218240 is an abundant number, since it is smaller than the sum of its proper divisors (170038238549760).

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

41968450218240 is a wasteful number, since it uses less digits than its factorization.

41968450218240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 41968450218240 in words is "forty-one trillion, nine hundred sixty-eight billion, four hundred fifty million, two hundred eighteen thousand, two hundred forty".