512455325440 has 288 divisors, whose sum is σ = 1268352691200. Its totient is φ = 198311608320.

The previous prime is 512455325413. The next prime is 512455325467. The reversal of 512455325440 is 44523554215.

It is an interprime number because it is at equal distance from previous prime (512455325413) and next prime (512455325467).

It is a super-2 number, since 2×512455325440² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 512455325393 and 512455325402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1427451981 + ... + 1427452339.

It is an arithmetic number, because the mean of its divisors is an integer number (4404002400).

Almost surely, 2^512455325440 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 512455325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634176345600).

512455325440 is an abundant number, since it is smaller than the sum of its proper divisors (755897365760).

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

512455325440 is a wasteful number, since it uses less digits than its factorization.

512455325440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 40.

Adding to 512455325440 its reverse (44523554215), we get a palindrome (556978879655).

The spelling of 512455325440 in words is "five hundred twelve billion, four hundred fifty-five million, three hundred twenty-five thousand, four hundred forty".