4286538144 has 240 divisors, whose sum is σ = 14874241536. Its totient is φ = 1185062400.

The previous prime is 4286538107. The next prime is 4286538161. The reversal of 4286538144 is 4418356824.

It is a self number, because there is not a number n which added to its sum of digits gives 4286538144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 558654 + ... + 566274.

Almost surely, 2^4286538144 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 4286538144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7437120768).

4286538144 is an abundant number, since it is smaller than the sum of its proper divisors (10587703392).

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

4286538144 is a wasteful number, since it uses less digits than its factorization.

4286538144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7681 (or 7664 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 4286538144 is about 65471.6590900215. The cubic root of 4286538144 is about 1624.4345985953.

The spelling of 4286538144 in words is "four billion, two hundred eighty-six million, five hundred thirty-eight thousand, one hundred forty-four".