4812008040 has 256 divisors, whose sum is σ = 18383155200. Its totient is φ = 1096789248.

The previous prime is 4812008023. The next prime is 4812008059. The reversal of 4812008040 is 408002184.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4812007995 and 4812008013.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3681067 + ... + 3682373.

It is an arithmetic number, because the mean of its divisors is an integer number (71809200).

Almost surely, 2^4812008040 is an apocalyptic number.

4812008040 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 4812008040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9191577600).

4812008040 is an abundant number, since it is smaller than the sum of its proper divisors (13571147160).

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

4812008040 is a wasteful number, since it uses less digits than its factorization.

4812008040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1821 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 4812008040 is about 69368.6387353824. The cubic root of 4812008040 is about 1688.2708221685.

The spelling of 4812008040 in words is "four billion, eight hundred twelve million, eight thousand, forty".