503394877440 has 1920 divisors, whose sum is σ = 2293543203840. Its totient is φ = 101921587200.

The previous prime is 503394877417. The next prime is 503394877471. The reversal of 503394877440 is 44778493305.

503394877440 is a `hidden beast` number, since 5 + 0 + 33 + 94 + 87 + 7 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8252375010 + ... + 8252375070.

It is an arithmetic number, because the mean of its divisors is an integer number (1194553752).

Almost surely, 2^503394877440 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 503394877440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146771601920).

503394877440 is an abundant number, since it is smaller than the sum of its proper divisors (1790148326400).

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

503394877440 is a wasteful number, since it uses less digits than its factorization.

503394877440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 503394877440 in words is "five hundred three billion, three hundred ninety-four million, eight hundred seventy-seven thousand, four hundred forty".