416129021 has 24 divisors (see below), whose sum is σ = 529591104. Its totient is φ = 323326080.

The previous prime is 416128991. The next prime is 416129039. The reversal of 416129021 is 120921614.

It is not a de Polignac number, because 416129021 - 2²⁶ = 349020157 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416129071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232496 + ... + 234278.

It is an arithmetic number, because the mean of its divisors is an integer number (22066296).

Almost surely, 2^416129021 is an apocalyptic number.

It is an amenable number.

416129021 is a deficient number, since it is larger than the sum of its proper divisors (113462083).

416129021 is a wasteful number, since it uses less digits than its factorization.

416129021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2241 (or 2234 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 416129021 is about 20399.2406966534. The cubic root of 416129021 is about 746.5793984379.

The spelling of 416129021 in words is "four hundred sixteen million, one hundred twenty-nine thousand, twenty-one".