511364243040 has 1152 divisors, whose sum is σ = 2006777203200. Its totient is φ = 108958187520.

The previous prime is 511364243003. The next prime is 511364243053. The reversal of 511364243040 is 40342463115.

It is a happy number.

It is a super-2 number, since 2×511364243040² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 511364242992 and 511364243010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3903543775 + ... + 3903543905.

It is an arithmetic number, because the mean of its divisors is an integer number (1741994100).

Almost surely, 2^511364243040 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 511364243040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003388601600).

511364243040 is an abundant number, since it is smaller than the sum of its proper divisors (1495412960160).

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

511364243040 is a wasteful number, since it uses less digits than its factorization.

511364243040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 511364243040 in words is "five hundred eleven billion, three hundred sixty-four million, two hundred forty-three thousand, forty".