4294059120 has 480 divisors, whose sum is σ = 16300956672. Its totient is φ = 1006000128.

The previous prime is 4294059067. The next prime is 4294059127. The reversal of 4294059120 is 219504924.

4294059120 is a `hidden beast` number, since 4 + 2 + 9 + 40 + 591 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4294059127) 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, 18916447 + ... + 18916673.

Almost surely, 2^4294059120 is an apocalyptic number.

4294059120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4294059120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8150478336).

4294059120 is an abundant number, since it is smaller than the sum of its proper divisors (12006897552).

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

4294059120 is a wasteful number, since it uses less digits than its factorization.

4294059120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 4294059120 is about 65529.0708006759. The cubic root of 4294059120 is about 1625.3840979224.

The spelling of 4294059120 in words is "four billion, two hundred ninety-four million, fifty-nine thousand, one hundred twenty".