416952334029 has 32 divisors (see below), whose sum is σ = 694239169536. Its totient is φ = 216247489920.

The previous prime is 416952334013. The next prime is 416952334049. The reversal of 416952334029 is 920433259614.

It is not a de Polignac number, because 416952334029 - 2⁴ = 416952334013 is a prime.

It is a super-3 number, since 3×416952334029³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416952334049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1320187 + ... + 1605240.

It is an arithmetic number, because the mean of its divisors is an integer number (21694974048).

Almost surely, 2^416952334029 is an apocalyptic number.

It is an amenable number.

416952334029 is a deficient number, since it is larger than the sum of its proper divisors (277286835507).

416952334029 is a wasteful number, since it uses less digits than its factorization.

416952334029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2926065.

The product of its (nonzero) digits is 1399680, while the sum is 48.

The spelling of 416952334029 in words is "four hundred sixteen billion, nine hundred fifty-two million, three hundred thirty-four thousand, twenty-nine".