41691264061440 has 416 divisors, whose sum is σ = 155696037765120. Its totient is φ = 9326673395712.

The previous prime is 41691264061417. The next prime is 41691264061451. The reversal of 41691264061440 is 4416046219614.

It is a super-2 number, since 2×41691264061440² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 41691264061440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19182501 + ... + 21245019.

Almost surely, 2^{41691264061440} is an apocalyptic number.

41691264061440 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 41691264061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77848018882560).

41691264061440 is an abundant number, since it is smaller than the sum of its proper divisors (114004773703680).

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

41691264061440 is a wasteful number, since it uses less digits than its factorization.

41691264061440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2062605 (or 2062583 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 41691264061440 in words is "forty-one trillion, six hundred ninety-one billion, two hundred sixty-four million, sixty-one thousand, four hundred forty".