252205431440 has 40 divisors (see below), whose sum is σ = 586415141880. Its totient is φ = 100875718656.

The previous prime is 252205431437. The next prime is 252205431503. The reversal of 252205431440 is 44134502252.

It can be written as a sum of positive squares in 4 ways, for example, as 6173559184 + 246031872256 = 78572^2 + 496016^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×252205431440³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 252205431397 and 252205431406.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1273856 + ... + 1458464.

It is an arithmetic number, because the mean of its divisors is an integer number (14660378547).

Almost surely, 2^252205431440 is an apocalyptic number.

252205431440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252205431440 is an abundant number, since it is smaller than the sum of its proper divisors (334209710440).

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

252205431440 is a wasteful number, since it uses less digits than its factorization.

252205431440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201699 (or 201693 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

Adding to 252205431440 its reverse (44134502252), we get a palindrome (296339933692).

The spelling of 252205431440 in words is "two hundred fifty-two billion, two hundred five million, four hundred thirty-one thousand, four hundred forty".