501034214144 has 72 divisors (see below), whose sum is σ = 1062327425040. Its totient is φ = 235026874368.

The previous prime is 501034214117. The next prime is 501034214147. The reversal of 501034214144 is 441412430105.

It is not an unprimeable number, because it can be changed into a prime (501034214147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1178267 + ... + 1546085.

It is an arithmetic number, because the mean of its divisors is an integer number (14754547570).

Almost surely, 2^501034214144 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 501034214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531163712520).

501034214144 is an abundant number, since it is smaller than the sum of its proper divisors (561293210896).

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

501034214144 is a wasteful number, since it uses less digits than its factorization.

501034214144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368165 (or 368151 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 501034214144 its reverse (441412430105), we get a palindrome (942446644249).

The spelling of 501034214144 in words is "five hundred one billion, thirty-four million, two hundred fourteen thousand, one hundred forty-four".