503441431533040 has 320 divisors, whose sum is σ = 1587142448381952. Its totient is φ = 143412162048000.

The previous prime is 503441431533023. The next prime is 503441431533143. The reversal of 503441431533040 is 40335134144305.

It is a super-2 number, since 2×503441431533040² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 503441431532984 and 503441431533002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23034352 + ... + 39210511.

Almost surely, 2^{503441431533040} is an apocalyptic number.

It is an amenable number.

503441431533040 is an abundant number, since it is smaller than the sum of its proper divisors (1083701016848912).

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

503441431533040 is a wasteful number, since it uses less digits than its factorization.

503441431533040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62245008 (or 62245002 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 40.

Adding to 503441431533040 its reverse (40335134144305), we get a palindrome (543776565677345).

The spelling of 503441431533040 in words is "five hundred three trillion, four hundred forty-one billion, four hundred thirty-one million, five hundred thirty-three thousand, forty".