4290048000 has 936 divisors, whose sum is σ = 18936936720. Its totient is φ = 928972800.

The previous prime is 4290047987. The next prime is 4290048031. The reversal of 4290048000 is 8400924.

4290048000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 225791991 + ... + 225792009.

It is an arithmetic number, because the mean of its divisors is an integer number (20231770).

Almost surely, 2^4290048000 is an apocalyptic number.

4290048000 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 4290048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9468468360).

4290048000 is an abundant number, since it is smaller than the sum of its proper divisors (14646888720).

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

4290048000 is a wasteful number, since it uses less digits than its factorization.

4290048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4290048000 is about 65498.4579971162. The cubic root of 4290048000 is about 1624.8778448609.

Adding to 4290048000 its reverse (8400924), we get a palindrome (4298448924).

The spelling of 4290048000 in words is "four billion, two hundred ninety million, forty-eight thousand".