3214132400440 has 32 divisors (see below), whose sum is σ = 7788090048480. Its totient is φ = 1186756578432.

The previous prime is 3214132400389. The next prime is 3214132400441. The reversal of 3214132400440 is 440042314123.

It is a junction number, because it is equal to n+sod(n) for n = 3214132400399 and 3214132400408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3214132400441) 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 7 ways as a sum of consecutive naturals, for example, 3090511404 + ... + 3090512443.

It is an arithmetic number, because the mean of its divisors is an integer number (243377814015).

Almost surely, 2^{3214132400440} is an apocalyptic number.

It is an amenable number.

3214132400440 is an abundant number, since it is smaller than the sum of its proper divisors (4573957648040).

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

3214132400440 is a wasteful number, since it uses less digits than its factorization.

3214132400440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6181023871 (or 6181023867 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 3214132400440 its reverse (440042314123), we get a palindrome (3654174714563).

The spelling of 3214132400440 in words is "three trillion, two hundred fourteen billion, one hundred thirty-two million, four hundred thousand, four hundred forty".