3213256101440 has 336 divisors, whose sum is σ = 9766764190080. Its totient is φ = 978229002240.

The previous prime is 3213256101427. The next prime is 3213256101443. The reversal of 3213256101440 is 441016523123.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 3213256101397 and 3213256101406.

It is not an unprimeable number, because it can be changed into a prime (3213256101443) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 45524096 + ... + 45594624.

Almost surely, 2^{3213256101440} 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 3213256101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4883382095040).

3213256101440 is an abundant number, since it is smaller than the sum of its proper divisors (6553508088640).

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

3213256101440 is a wasteful number, since it uses less digits than its factorization.

3213256101440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70650 (or 70597 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 3213256101440 in words is "three trillion, two hundred thirteen billion, two hundred fifty-six million, one hundred one thousand, four hundred forty".