4290121920 has 448 divisors, whose sum is σ = 16664610816. Its totient is φ = 913735680.

The previous prime is 4290121909. The next prime is 4290121933. The reversal of 4290121920 is 291210924.

It is a happy number.

4290121920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6336622 + ... + 6337298.

It is an arithmetic number, because the mean of its divisors is an integer number (37197792).

Almost surely, 2^4290121920 is an apocalyptic number.

4290121920 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 4290121920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8332305408).

4290121920 is an abundant number, since it is smaller than the sum of its proper divisors (12374488896).

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

4290121920 is a wasteful number, since it uses less digits than its factorization.

4290121920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 4290121920 is about 65499.0222827792. The cubic root of 4290121920 is about 1624.8871773346.

The spelling of 4290121920 in words is "four billion, two hundred ninety million, one hundred twenty-one thousand, nine hundred twenty".