501111442000 has 160 divisors (see below), whose sum is σ = 1361630350080. Its totient is φ = 176980953600.

The previous prime is 501111441997. The next prime is 501111442021. The reversal of 501111442000 is 244111105.

It is a super-2 number, since 2×501111442000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 179011 + ... + 1016989.

It is an arithmetic number, because the mean of its divisors is an integer number (8510189688).

Almost surely, 2^501111442000 is an apocalyptic number.

501111442000 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 501111442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680815175040).

501111442000 is an abundant number, since it is smaller than the sum of its proper divisors (860518908080).

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

501111442000 is a wasteful number, since it uses less digits than its factorization.

501111442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838038 (or 838022 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

Adding to 501111442000 its reverse (244111105), we get a palindrome (501355553105).

The spelling of 501111442000 in words is "five hundred one billion, one hundred eleven million, four hundred forty-two thousand".