502120115040 has 192 divisors, whose sum is σ = 1639335741120. Its totient is φ = 129084088320.

The previous prime is 502120115039. The next prime is 502120115053. The reversal of 502120115040 is 40511021205.

It is a super-3 number, since 3×502120115040³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 502120114998 and 502120115016.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1806150 + ... + 2065530.

It is an arithmetic number, because the mean of its divisors is an integer number (8538206985).

Almost surely, 2^502120115040 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 502120115040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819667870560).

502120115040 is an abundant number, since it is smaller than the sum of its proper divisors (1137215626080).

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

502120115040 is a wasteful number, since it uses less digits than its factorization.

502120115040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259545 (or 259537 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

Adding to 502120115040 its reverse (40511021205), we get a palindrome (542631136245).

The spelling of 502120115040 in words is "five hundred two billion, one hundred twenty million, one hundred fifteen thousand, forty".