505035019440 has 1600 divisors, whose sum is σ = 2254189436928. Its totient is φ = 102120652800.

The previous prime is 505035019439. The next prime is 505035019441. The reversal of 505035019440 is 44910530505.

505035019440 is a `hidden beast` number, since 50 + 503 + 50 + 19 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (505035019439) and next prime (505035019441).

It is a super-2 number, since 2×505035019440² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 505035019395 and 505035019404.

It is not an unprimeable number, because it can be changed into a prime (505035019441) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 884474355 + ... + 884474925.

Almost surely, 2^505035019440 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 505035019440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127094718464).

505035019440 is an abundant number, since it is smaller than the sum of its proper divisors (1749154417488).

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

505035019440 is a wasteful number, since it uses less digits than its factorization.

505035019440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 505035019440 its reverse (44910530505), we get a palindrome (549945549945).

The spelling of 505035019440 in words is "five hundred five billion, thirty-five million, nineteen thousand, four hundred forty".