503401211124240 has 1280 divisors, whose sum is σ = 1930110065049600. Its totient is φ = 106844877619200.

The previous prime is 503401211124221. The next prime is 503401211124293. The reversal of 503401211124240 is 42421112104305.

It is a super-2 number, since 2×503401211124240² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 503401211124198 and 503401211124207.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 126897202737 + ... + 126897206703.

It is an arithmetic number, because the mean of its divisors is an integer number (1507898488320).

Almost surely, 2^{503401211124240} 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 503401211124240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965055032524800).

503401211124240 is an abundant number, since it is smaller than the sum of its proper divisors (1426708853925360).

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

503401211124240 is a wasteful number, since it uses less digits than its factorization.

503401211124240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6256 (or 6250 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 503401211124240 its reverse (42421112104305), we get a palindrome (545822323228545).

The spelling of 503401211124240 in words is "five hundred three trillion, four hundred one billion, two hundred eleven million, one hundred twenty-four thousand, two hundred forty".