501331145040 has 480 divisors, whose sum is σ = 1860580665216. Its totient is φ = 119961354240.

The previous prime is 501331144999. The next prime is 501331145047. The reversal of 501331145040 is 40541133105.

It is a happy number.

501331145040 is a `hidden beast` number, since 501 + 3 + 3 + 114 + 5 + 0 + 40 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 501331144995 and 501331145013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (501331145047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 420226684 + ... + 420227876.

Almost surely, 2^501331145040 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 501331145040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930290332608).

501331145040 is an abundant number, since it is smaller than the sum of its proper divisors (1359249520176).

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

501331145040 is a wasteful number, since it uses less digits than its factorization.

501331145040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1867 (or 1858 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 501331145040 its reverse (40541133105), we get a palindrome (541872278145).

The spelling of 501331145040 in words is "five hundred one billion, three hundred thirty-one million, one hundred forty-five thousand, forty".