4608791040 has 480 divisors, whose sum is σ = 17655637824. Its totient is φ = 1021870080.

The previous prime is 4608791029. The next prime is 4608791053. The reversal of 4608791040 is 401978064.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a self number, because there is not a number n which added to its sum of digits gives 4608791040.

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, 13923675 + ... + 13924005.

Almost surely, 2^4608791040 is an apocalyptic number.

4608791040 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 4608791040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8827818912).

4608791040 is an abundant number, since it is smaller than the sum of its proper divisors (13046846784).

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

4608791040 is a wasteful number, since it uses less digits than its factorization.

4608791040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 4608791040 is about 67888.0773037505. The cubic root of 4608791040 is about 1664.1622746083.

The spelling of 4608791040 in words is "four billion, six hundred eight million, seven hundred ninety-one thousand, forty".