503781949440 has 2560 divisors, whose sum is σ = 2466464774400. Its totient is φ = 95126814720.

The previous prime is 503781949439. The next prime is 503781949477. The reversal of 503781949440 is 44949187305.

503781949440 is a `hidden beast` number, since 5 + 0 + 3 + 7 + 8 + 194 + 9 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17371791346 + ... + 17371791374.

Almost surely, 2^503781949440 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 503781949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233232387200).

503781949440 is an abundant number, since it is smaller than the sum of its proper divisors (1962682824960).

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

503781949440 is a wasteful number, since it uses less digits than its factorization.

503781949440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 503781949440 in words is "five hundred three billion, seven hundred eighty-one million, nine hundred forty-nine thousand, four hundred forty".