235305531040 has 96 divisors (see below), whose sum is σ = 559717860240. Its totient is φ = 93479092224.

The previous prime is 235305531037. The next prime is 235305531073. The reversal of 235305531040 is 40135503532.

235305531040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 132010142224 + 103295388816 = 363332^2 + 321396^2 .

It is a junction number, because it is equal to n+sod(n) for n = 235305530993 and 235305531011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18685066 + ... + 18697654.

Almost surely, 2^235305531040 is an apocalyptic number.

235305531040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235305531040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279858930120).

235305531040 is an abundant number, since it is smaller than the sum of its proper divisors (324412329200).

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

235305531040 is a wasteful number, since it uses less digits than its factorization.

235305531040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13394 (or 13386 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 31.

The spelling of 235305531040 in words is "two hundred thirty-five billion, three hundred five million, five hundred thirty-one thousand, forty".