512023003415040 has 320 divisors, whose sum is σ = 1764797209249536. Its totient is φ = 125892696932352.

The previous prime is 512023003415023. The next prime is 512023003415041. The reversal of 512023003415040 is 40514300320215.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 512023003414989 and 512023003415007.

It is not an unprimeable number, because it can be changed into a prime (512023003415041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84635829 + ... + 90483531.

Almost surely, 2^{512023003415040} 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 512023003415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882398604624768).

512023003415040 is an abundant number, since it is smaller than the sum of its proper divisors (1252774205834496).

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

512023003415040 is a wasteful number, since it uses less digits than its factorization.

512023003415040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5848619 (or 5848603 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 512023003415040 its reverse (40514300320215), we get a palindrome (552537303735255).

The spelling of 512023003415040 in words is "five hundred twelve trillion, twenty-three billion, three million, four hundred fifteen thousand, forty".