4282993056 has 96 divisors (see below), whose sum is σ = 11921914368. Its totient is φ = 1341685760.

The previous prime is 4282993031. The next prime is 4282993063. The reversal of 4282993056 is 6503992824.

It is a happy number.

4282993056 is digitally balanced in base 2 and base 4, because in such bases 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 4282992996 and 4282993014.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1406896 + ... + 1409936.

It is an arithmetic number, because the mean of its divisors is an integer number (124186608).

Almost surely, 2^4282993056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4282993056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5960957184).

4282993056 is an abundant number, since it is smaller than the sum of its proper divisors (7638921312).

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

4282993056 is a wasteful number, since it uses less digits than its factorization.

4282993056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3934 (or 3926 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 4282993056 is about 65444.5800353245. The cubic root of 4282993056 is about 1623.9866573358.

The spelling of 4282993056 in words is "four billion, two hundred eighty-two million, nine hundred ninety-three thousand, fifty-six".