752983400340 has 36 divisors (see below), whose sum is σ = 2284049648244. Its totient is φ = 200795573376.

The previous prime is 752983400321. The next prime is 752983400341. The reversal of 752983400340 is 43004389257.

752983400340 is a `hidden beast` number, since 7 + 529 + 83 + 4 + 0 + 0 + 3 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 297998075664 + 454985324676 = 545892^2 + 674526^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (752983400341) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2091620377 + ... + 2091620736.

Almost surely, 2^752983400340 is an apocalyptic number.

It is an amenable number.

752983400340 is an abundant number, since it is smaller than the sum of its proper divisors (1531066247904).

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

752983400340 is a wasteful number, since it uses less digits than its factorization.

752983400340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4183241128 (or 4183241123 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

Adding to 752983400340 its reverse (43004389257), we get a palindrome (795987789597).

The spelling of 752983400340 in words is "seven hundred fifty-two billion, nine hundred eighty-three million, four hundred thousand, three hundred forty".