511201004040 has 128 divisors (see below), whose sum is σ = 1727346124800. Its totient is φ = 134452846080.

The previous prime is 511201004033. The next prime is 511201004059. The reversal of 511201004040 is 40400102115.

It is a super-2 number, since 2×511201004040² (a number of 24 digits) contains 22 as substring.

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

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 31 ways as a sum of consecutive naturals, for example, 3163176 + ... + 3320855.

It is an arithmetic number, because the mean of its divisors is an integer number (13494891600).

Almost surely, 2^511201004040 is an apocalyptic number.

It is an amenable number.

511201004040 is an abundant number, since it is smaller than the sum of its proper divisors (1216145120760).

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

511201004040 is a wasteful number, since it uses less digits than its factorization.

511201004040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6484124 (or 6484114 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 511201004040 its reverse (40400102115), we get a palindrome (551601106155).

The spelling of 511201004040 in words is "five hundred eleven billion, two hundred one million, four thousand, forty".