511340040 has 192 divisors, whose sum is σ = 1780047360. Its totient is φ = 131880960.

The previous prime is 511340021. The next prime is 511340041. The reversal of 511340040 is 40043115.

It is a happy number.

It is a super-2 number, since 2×511340040² = 522937273014403200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 511339995 and 511340022.

It is not an unprimeable number, because it can be changed into a prime (511340041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 300472 + ... + 302168.

It is an arithmetic number, because the mean of its divisors is an integer number (9271080).

Almost surely, 2^511340040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 511340040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890023680).

511340040 is an abundant number, since it is smaller than the sum of its proper divisors (1268707320).

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

511340040 is a wasteful number, since it uses less digits than its factorization.

511340040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 511340040 is about 22612.8291020827. The cubic root of 511340040 is about 799.6561230403.

Adding to 511340040 its reverse (40043115), we get a palindrome (551383155).

The spelling of 511340040 in words is "five hundred eleven million, three hundred forty thousand, forty".