414056132834971 has 8 divisors (see below), whose sum is σ = 459102478136688. Its totient is φ = 370243933980000.

The previous prime is 414056132834951. The next prime is 414056132834987. The reversal of 414056132834971 is 179438231650414.

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

It is a cyclic number.

It is not a de Polignac number, because 414056132834971 - 2²⁵ = 414056099280539 is a prime.

It is a super-2 number, since 2×414056132834971² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414056132834921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 308536610980 + ... + 308536612321.

It is an arithmetic number, because the mean of its divisors is an integer number (57387809767086).

It is a 1-persistent number, because it is pandigital, but 2⋅414056132834971 = 828112265669942 is not.

Almost surely, 2^{414056132834971} is an apocalyptic number.

414056132834971 is a deficient number, since it is larger than the sum of its proper divisors (45046345301717).

414056132834971 is a wasteful number, since it uses less digits than its factorization.

414056132834971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617073223373.

The product of its (nonzero) digits is 17418240, while the sum is 58.

The spelling of 414056132834971 in words is "four hundred fourteen trillion, fifty-six billion, one hundred thirty-two million, eight hundred thirty-four thousand, nine hundred seventy-one".