512215000440 has 256 divisors, whose sum is σ = 1806846289920. Its totient is φ = 114522685440.

The previous prime is 512215000433. The next prime is 512215000447. The reversal of 512215000440 is 44000512215.

It is an interprime number because it is at equal distance from previous prime (512215000433) and next prime (512215000447).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 512215000440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512215000447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20871457 + ... + 20895983.

It is an arithmetic number, because the mean of its divisors is an integer number (7057993320).

Almost surely, 2^512215000440 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 512215000440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903423144960).

512215000440 is an abundant number, since it is smaller than the sum of its proper divisors (1294631289480).

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

512215000440 is a wasteful number, since it uses less digits than its factorization.

512215000440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25782 (or 25778 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 512215000440 its reverse (44000512215), we get a palindrome (556215512655).

The spelling of 512215000440 in words is "five hundred twelve billion, two hundred fifteen million, four hundred forty", and thus it is an aban number.