4001294075814 has 80 divisors (see below), whose sum is σ = 10440034295328. Its totient is φ = 1121656543488.

The previous prime is 4001294075783. The next prime is 4001294075873. The reversal of 4001294075814 is 4185704921004.

4001294075814 is a `hidden beast` number, since 4 + 0 + 0 + 1 + 29 + 40 + 7 + 581 + 4 = 666.

It is a super-2 number, since 2×4001294075814² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4001294075814.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33227427 + ... + 33347630.

Almost surely, 2^{4001294075814} is an apocalyptic number.

4001294075814 is an abundant number, since it is smaller than the sum of its proper divisors (6438740219514).

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

4001294075814 is a wasteful number, since it uses less digits than its factorization.

4001294075814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66575131 (or 66575122 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

Adding to 4001294075814 its reverse (4185704921004), we get a palindrome (8186998996818).

The spelling of 4001294075814 in words is "four trillion, one billion, two hundred ninety-four million, seventy-five thousand, eight hundred fourteen".