4517009040 has 80 divisors (see below), whose sum is σ = 14015281536. Its totient is φ = 1203456000.

The previous prime is 4517009033. The next prime is 4517009041. The reversal of 4517009040 is 409007154.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4517008989 and 4517009007.

It is not an unprimeable number, because it can be changed into a prime (4517009041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280405 + ... + 296075.

Almost surely, 2^4517009040 is an apocalyptic number.

4517009040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4517009040 is an abundant number, since it is smaller than the sum of its proper divisors (9498272496).

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

4517009040 is a wasteful number, since it uses less digits than its factorization.

4517009040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16888 (or 16882 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 4517009040 is about 67208.6976514201. The cubic root of 4517009040 is about 1653.0411059277.

The spelling of 4517009040 in words is "four billion, five hundred seventeen million, nine thousand, forty".