414066002513163 has 96 divisors (see below), whose sum is σ = 747473559436800. Its totient is φ = 197984201425920.

The previous prime is 414066002512991. The next prime is 414066002513179. The reversal of 414066002513163 is 361315200660414.

It is a happy number.

It is not a de Polignac number, because 414066002513163 - 2²⁶ = 414065935404299 is a prime.

It is a super-3 number, since 3×414066002513163³ (a number of 45 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (414066002513663) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1570906 + ... + 28820127.

It is an arithmetic number, because the mean of its divisors is an integer number (7786182910800).

Almost surely, 2^{414066002513163} is an apocalyptic number.

414066002513163 is a deficient number, since it is larger than the sum of its proper divisors (333407556923637).

414066002513163 is a wasteful number, since it uses less digits than its factorization.

414066002513163 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30391429 (or 30391416 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 414066002513163 in words is "four hundred fourteen trillion, sixty-six billion, two million, five hundred thirteen thousand, one hundred sixty-three".