503432021420432 has 160 divisors (see below), whose sum is σ = 1083002948375040. Its totient is φ = 225259646976000.

The previous prime is 503432021420413. The next prime is 503432021420473. The reversal of 503432021420432 is 234024120234305.

It is a junction number, because it is equal to n+sod(n) for n = 503432021420392 and 503432021420401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3162797744 + ... + 3162956912.

It is an arithmetic number, because the mean of its divisors is an integer number (6768768427344).

Almost surely, 2^{503432021420432} is an apocalyptic number.

503432021420432 is a gapful number since it is divisible by the number (52) 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 503432021420432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541501474187520).

503432021420432 is an abundant number, since it is smaller than the sum of its proper divisors (579570926954608).

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

503432021420432 is a wasteful number, since it uses less digits than its factorization.

503432021420432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162833 (or 162827 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 35.

Adding to 503432021420432 its reverse (234024120234305), we get a palindrome (737456141654737).

The spelling of 503432021420432 in words is "five hundred three trillion, four hundred thirty-two billion, twenty-one million, four hundred twenty thousand, four hundred thirty-two".