416432406231 has 16 divisors (see below), whose sum is σ = 623045188320. Its totient is φ = 274872873600.

The previous prime is 416432406217. The next prime is 416432406259. The reversal of 416432406231 is 132604234614.

416432406231 is a `hidden beast` number, since 4 + 1 + 6 + 4 + 3 + 24 + 0 + 623 + 1 = 666.

It is not a de Polignac number, because 416432406231 - 2¹⁷ = 416432275159 is a prime.

It is a super-2 number, since 2×416432406231² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416432406631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76350850 + ... + 76356303.

It is an arithmetic number, because the mean of its divisors is an integer number (38940324270).

Almost surely, 2^416432406231 is an apocalyptic number.

416432406231 is a deficient number, since it is larger than the sum of its proper divisors (206612782089).

416432406231 is a wasteful number, since it uses less digits than its factorization.

416432406231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152707263 (or 152707257 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 416432406231 in words is "four hundred sixteen billion, four hundred thirty-two million, four hundred six thousand, two hundred thirty-one".