4259671416 has 576 divisors, whose sum is σ = 16266432000. Its totient is φ = 1016167680.

The previous prime is 4259671411. The next prime is 4259671417. The reversal of 4259671416 is 6141769524.

4259671416 is a `hidden beast` number, since 42 + 596 + 7 + 1 + 4 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4259671411) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21405285 + ... + 21405483.

Almost surely, 2^4259671416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4259671416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8133216000).

4259671416 is an abundant number, since it is smaller than the sum of its proper divisors (12006760584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4259671416 is a wasteful number, since it uses less digits than its factorization.

4259671416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 235 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 4259671416 is about 65266.1582751735. The cubic root of 4259671416 is about 1621.0336613068.

The spelling of 4259671416 in words is "four billion, two hundred fifty-nine million, six hundred seventy-one thousand, four hundred sixteen".