4515000040 has 64 divisors (see below), whose sum is σ = 10394548560. Its totient is φ = 1764372480.

The previous prime is 4515000023. The next prime is 4515000059. The reversal of 4515000040 is 400005154.

It can be written as a sum of positive squares in 8 ways, for example, as 4284749764 + 230250276 = 65458^2 + 15174^2 .

It is a super-2 number, since 2×4515000040² = 40770450722400003200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4514999981 and 4515000017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 506502 + ... + 515338.

Almost surely, 2^4515000040 is an apocalyptic number.

4515000040 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 4515000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5197274280).

4515000040 is an abundant number, since it is smaller than the sum of its proper divisors (5879548520).

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

4515000040 is a wasteful number, since it uses less digits than its factorization.

4515000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9142 (or 9138 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 4515000040 is about 67193.7500069761. The cubic root of 4515000040 is about 1652.7959988948.

Adding to 4515000040 its reverse (400005154), we get a palindrome (4915005194).

The spelling of 4515000040 in words is "four billion, five hundred fifteen million, forty", and thus it is an aban number.