4242853440 has 672 divisors, whose sum is σ = 17917850880. Its totient is φ = 925655040.

The previous prime is 4242853427. The next prime is 4242853451. The reversal of 4242853440 is 443582424.

4242853440 is a `hidden beast` number, since 42 + 42 + 8 + 534 + 40 = 666.

4242853440 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 (672).

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 = 4242853395 and 4242853404.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58121244 + ... + 58121316.

Almost surely, 2^4242853440 is an apocalyptic number.

4242853440 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 4242853440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8958925440).

4242853440 is an abundant number, since it is smaller than the sum of its proper divisors (13674997440).

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

4242853440 is a wasteful number, since it uses less digits than its factorization.

4242853440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The square root of 4242853440 is about 65137.1893774977. The cubic root of 4242853440 is about 1618.8974665474.

The spelling of 4242853440 in words is "four billion, two hundred forty-two million, eight hundred fifty-three thousand, four hundred forty".