4248090144 has 48 divisors (see below), whose sum is σ = 12390265440. Its totient is φ = 1416029760.

The previous prime is 4248090131. The next prime is 4248090151. The reversal of 4248090144 is 4410908424.

4248090144 is a `hidden beast` number, since 424 + 8 + 0 + 90 + 144 = 666.

4248090144 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 (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 4248090099 and 4248090108.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2457522 + ... + 2459249.

It is an arithmetic number, because the mean of its divisors is an integer number (258130530).

Almost surely, 2^4248090144 is an apocalyptic number.

It is an amenable number.

4248090144 is an abundant number, since it is smaller than the sum of its proper divisors (8142175296).

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

4248090144 is a wasteful number, since it uses less digits than its factorization.

4248090144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4916790 (or 4916776 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4248090144 is about 65177.3744791856. The cubic root of 4248090144 is about 1619.5632293029.

Adding to 4248090144 its reverse (4410908424), we get a palindrome (8658998568).

The spelling of 4248090144 in words is "four billion, two hundred forty-eight million, ninety thousand, one hundred forty-four".