503427940128 has 384 divisors, whose sum is σ = 1536502141440. Its totient is φ = 160212971520.

The previous prime is 503427940123. The next prime is 503427940133. The reversal of 503427940128 is 821049724305.

503427940128 is a `hidden beast` number, since 503 + 42 + 7 + 94 + 0 + 12 + 8 = 666.

503427940128 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (503427940123) and next prime (503427940133).

It is not an unprimeable number, because it can be changed into a prime (503427940121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 665029926 + ... + 665030682.

It is an arithmetic number, because the mean of its divisors is an integer number (4001307660).

Almost surely, 2^503427940128 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 503427940128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768251070720).

503427940128 is an abundant number, since it is smaller than the sum of its proper divisors (1033074201312).

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

503427940128 is a wasteful number, since it uses less digits than its factorization.

503427940128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 503427940128 in words is "five hundred three billion, four hundred twenty-seven million, nine hundred forty thousand, one hundred twenty-eight".