501412340000000 has 1152 divisors, whose sum is σ = 1478862151603200. Its totient is φ = 167270400000000.

The previous prime is 501412339999979. The next prime is 501412340000041. The reversal of 501412340000000 is 43214105.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 569139999560 + ... + 569140000440.

It is an arithmetic number, because the mean of its divisors is an integer number (1283734506600).

Almost surely, 2^{501412340000000} is an apocalyptic number.

501412340000000 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 501412340000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739431075801600).

501412340000000 is an abundant number, since it is smaller than the sum of its proper divisors (977449811603200).

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

501412340000000 is an frugal number, since it uses more digits than its factorization.

501412340000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 501412340000000 its reverse (43214105), we get a palindrome (501412383214105).

The spelling of 501412340000000 in words is "five hundred one trillion, four hundred twelve billion, three hundred forty million", and thus it is an aban number.