414932097873 has 32 divisors (see below), whose sum is σ = 602812825600. Its totient is φ = 253608362640.

The previous prime is 414932097847. The next prime is 414932097883. The reversal of 414932097873 is 378790239414.

It is a happy number.

It is not a de Polignac number, because 414932097873 - 2⁶ = 414932097809 is a prime.

It is a super-2 number, since 2×414932097873² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414932097883) 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, 312648 + ... + 963126.

It is an arithmetic number, because the mean of its divisors is an integer number (18837900800).

Almost surely, 2^414932097873 is an apocalyptic number.

It is an amenable number.

414932097873 is a deficient number, since it is larger than the sum of its proper divisors (187880727727).

414932097873 is an equidigital number, since it uses as much as digits as its factorization.

414932097873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650570 (or 650532 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 57.

The spelling of 414932097873 in words is "four hundred fourteen billion, nine hundred thirty-two million, ninety-seven thousand, eight hundred seventy-three".