4394260416 has 672 divisors, whose sum is σ = 16085637120. Its totient is φ = 1045094400.

The previous prime is 4394260379. The next prime is 4394260421. The reversal of 4394260416 is 6140624934.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72037026 + ... + 72037086.

It is an arithmetic number, because the mean of its divisors is an integer number (23936960).

Almost surely, 2^4394260416 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 4394260416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8042818560).

4394260416 is an abundant number, since it is smaller than the sum of its proper divisors (11691376704).

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

4394260416 is a wasteful number, since it uses less digits than its factorization.

4394260416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 4394260416 is about 66289.2179468124. The cubic root of 4394260416 is about 1637.9297215811.

The spelling of 4394260416 in words is "four billion, three hundred ninety-four million, two hundred sixty thousand, four hundred sixteen".