4240746048 has 336 divisors, whose sum is σ = 14301947520. Its totient is φ = 1085399040.

The previous prime is 4240746001. The next prime is 4240746077. The reversal of 4240746048 is 8406470424.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 4240745997 and 4240746015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14473390 + ... + 14473682.

It is an arithmetic number, because the mean of its divisors is an integer number (42565320).

Almost surely, 2^4240746048 is an apocalyptic number.

4240746048 is a gapful number since it is divisible by the number (48) 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 4240746048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7150973760).

4240746048 is an abundant number, since it is smaller than the sum of its proper divisors (10061201472).

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

4240746048 is a wasteful number, since it uses less digits than its factorization.

4240746048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 39.

The square root of 4240746048 is about 65121.0108029659. The cubic root of 4240746048 is about 1618.6293909374.

The spelling of 4240746048 in words is "four billion, two hundred forty million, seven hundred forty-six thousand, forty-eight".