502734141000 has 512 divisors, whose sum is σ = 2145009484800. Its totient is φ = 106070860800.

The previous prime is 502734140971. The next prime is 502734141017. The reversal of 502734141000 is 141437205.

It is a super-4 number, since 4×502734141000⁴ (a number of 48 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2354694 + ... + 2559306.

It is an arithmetic number, because the mean of its divisors is an integer number (4189471650).

Almost surely, 2^502734141000 is an apocalyptic number.

502734141000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 502734141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072504742400).

502734141000 is an abundant number, since it is smaller than the sum of its proper divisors (1642275343800).

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

502734141000 is a wasteful number, since it uses less digits than its factorization.

502734141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204663 (or 204643 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 502734141000 its reverse (141437205), we get a palindrome (502875578205).

The spelling of 502734141000 in words is "five hundred two billion, seven hundred thirty-four million, one hundred forty-one thousand".