4290120800 has 144 divisors (see below), whose sum is σ = 12382644960. Its totient is φ = 1420124160.

The previous prime is 4290120797. The next prime is 4290120841. The reversal of 4290120800 is 80210924.

It is a self number, because there is not a number n which added to its sum of digits gives 4290120800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149192 + ... + 175608.

It is an arithmetic number, because the mean of its divisors is an integer number (85990590).

Almost surely, 2^4290120800 is an apocalyptic number.

4290120800 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 4290120800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6191322480).

4290120800 is an abundant number, since it is smaller than the sum of its proper divisors (8092524160).

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

4290120800 is a wasteful number, since it uses less digits than its factorization.

4290120800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26473 (or 26460 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 4290120800 is about 65499.0137330327. The cubic root of 4290120800 is about 1624.8870359343.

The spelling of 4290120800 in words is "four billion, two hundred ninety million, one hundred twenty thousand, eight hundred".