414051401019993 has 8 divisors (see below), whose sum is σ = 602256583301856. Its totient is φ = 250940243042400.

The previous prime is 414051401019959. The next prime is 414051401020027. The reversal of 414051401019993 is 399910104150414.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (414051401019959) and next prime (414051401020027).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 414051401019993 - 2¹⁸ = 414051400757849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (414051401019293) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6273506076028 + ... + 6273506076093.

It is an arithmetic number, because the mean of its divisors is an integer number (75282072912732).

Almost surely, 2^{414051401019993} is an apocalyptic number.

It is an amenable number.

414051401019993 is a deficient number, since it is larger than the sum of its proper divisors (188205182281863).

414051401019993 is a wasteful number, since it uses less digits than its factorization.

414051401019993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12547012152135.

The product of its (nonzero) digits is 699840, while the sum is 51.

The spelling of 414051401019993 in words is "four hundred fourteen trillion, fifty-one billion, four hundred one million, nineteen thousand, nine hundred ninety-three".