416146142433 has 96 divisors (see below), whose sum is σ = 705622192128. Its totient is φ = 216624844800.

The previous prime is 416146142413. The next prime is 416146142453. The reversal of 416146142433 is 334241641614.

It is an interprime number because it is at equal distance from previous prime (416146142413) and next prime (416146142453).

It is not a de Polignac number, because 416146142433 - 2⁸ = 416146142177 is a prime.

It is a super-2 number, since 2×416146142433² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 416146142391 and 416146142400.

It is not an unprimeable number, because it can be changed into a prime (416146142413) 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, 12996303 + ... + 13028283.

It is an arithmetic number, because the mean of its divisors is an integer number (7350231168).

Almost surely, 2^416146142433 is an apocalyptic number.

It is an amenable number.

416146142433 is a deficient number, since it is larger than the sum of its proper divisors (289476049695).

416146142433 is a wasteful number, since it uses less digits than its factorization.

416146142433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32183 (or 32176 counting only the distinct ones).

The product of its digits is 165888, while the sum is 39.

The spelling of 416146142433 in words is "four hundred sixteen billion, one hundred forty-six million, one hundred forty-two thousand, four hundred thirty-three".