3213130420240 has 160 divisors (see below), whose sum is σ = 8314353534816. Its totient is φ = 1147205713920.

The previous prime is 3213130420231. The next prime is 3213130420249. The reversal of 3213130420240 is 420240313123.

It is an interprime number because it is at equal distance from previous prime (3213130420231) and next prime (3213130420249).

It can be written as a sum of positive squares in 16 ways, for example, as 3039848042256 + 173282377984 = 1743516^2 + 416272^2 .

It is not an unprimeable number, because it can be changed into a prime (3213130420249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4484892 + ... + 5151748.

Almost surely, 2^{3213130420240} 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 3213130420240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4157176767408).

3213130420240 is an abundant number, since it is smaller than the sum of its proper divisors (5101223114576).

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

3213130420240 is a wasteful number, since it uses less digits than its factorization.

3213130420240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667037 (or 667031 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 3213130420240 its reverse (420240313123), we get a palindrome (3633370733363).

The spelling of 3213130420240 in words is "three trillion, two hundred thirteen billion, one hundred thirty million, four hundred twenty thousand, two hundred forty".