3253142141440 has 160 divisors (see below), whose sum is σ = 8046135085824. Its totient is φ = 1260817367040.

The previous prime is 3253142141437. The next prime is 3253142141461. The reversal of 3253142141440 is 441412413523.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 3253142141396 and 3253142141405.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10307257 + ... + 10618183.

Almost surely, 2^{3253142141440} 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 3253142141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4023067542912).

3253142141440 is an abundant number, since it is smaller than the sum of its proper divisors (4792992944384).

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

3253142141440 is an equidigital number, since it uses as much as digits as its factorization.

3253142141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311078 (or 311062 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

Adding to 3253142141440 its reverse (441412413523), we get a palindrome (3694554554963).

The spelling of 3253142141440 in words is "three trillion, two hundred fifty-three billion, one hundred forty-two million, one hundred forty-one thousand, four hundred forty".