753133284040 has 16 divisors (see below), whose sum is σ = 1694549889180. Its totient is φ = 301253313600.

The previous prime is 753133283999. The next prime is 753133284143. The reversal of 753133284040 is 40482331357.

It can be written as a sum of positive squares in 2 ways, for example, as 736957005444 + 16176278596 = 858462^2 + 127186^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 18828332101 = 753133284040 / (7 + 5 + 3 + 1 + 3 + 3 + 2 + 8 + 4 + 0 + 4 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 753133283984 and 753133284002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9414166011 + ... + 9414166090.

Almost surely, 2^753133284040 is an apocalyptic number.

It is an amenable number.

753133284040 is an abundant number, since it is smaller than the sum of its proper divisors (941416605140).

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

753133284040 is a wasteful number, since it uses less digits than its factorization.

753133284040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18828332112 (or 18828332108 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The spelling of 753133284040 in words is "seven hundred fifty-three billion, one hundred thirty-three million, two hundred eighty-four thousand, forty".