511406123040 has 360 divisors, whose sum is σ = 1917263504772. Its totient is φ = 128351969280.

The previous prime is 511406123009. The next prime is 511406123077. The reversal of 511406123040 is 40321604115.

It is a happy number.

511406123040 is a `hidden beast` number, since 5 + 1 + 1 + 4 + 0 + 612 + 3 + 0 + 40 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 229559807376 + 281846315664 = 479124^2 + 530892^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 = 511406122995 and 511406123013.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3677170 + ... + 3813710.

Almost surely, 2^511406123040 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 511406123040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958631752386).

511406123040 is an abundant number, since it is smaller than the sum of its proper divisors (1405857381732).

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

511406123040 is a wasteful number, since it uses less digits than its factorization.

511406123040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136602 (or 136568 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 511406123040 its reverse (40321604115), we get a palindrome (551727727155).

The spelling of 511406123040 in words is "five hundred eleven billion, four hundred six million, one hundred twenty-three thousand, forty".