4290501120 has 160 divisors (see below), whose sum is σ = 13797241920. Its totient is φ = 1137377280.

The previous prime is 4290501119. The next prime is 4290501143. The reversal of 4290501120 is 211050924.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1373160 + ... + 1376280.

It is an arithmetic number, because the mean of its divisors is an integer number (86232762).

Almost surely, 2^4290501120 is an apocalyptic number.

4290501120 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 4290501120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6898620960).

4290501120 is an abundant number, since it is smaller than the sum of its proper divisors (9506740800).

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

4290501120 is a wasteful number, since it uses less digits than its factorization.

4290501120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3326 (or 3310 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 4290501120 is about 65501.9169185147. The cubic root of 4290501120 is about 1624.9350500273.

The spelling of 4290501120 in words is "four billion, two hundred ninety million, five hundred one thousand, one hundred twenty".