3213242400140 has 96 divisors (see below), whose sum is σ = 7255229667840. Its totient is φ = 1191800563200.

The previous prime is 3213242400133. The next prime is 3213242400143. The reversal of 3213242400140 is 410042423123.

It is a super-4 number, since 4×3213242400140⁴ (a number of 51 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (3213242400143) 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, 3191825 + ... + 4076055.

It is an arithmetic number, because the mean of its divisors is an integer number (75575309040).

Almost surely, 2^{3213242400140} 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 3213242400140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3627614833920).

3213242400140 is an abundant number, since it is smaller than the sum of its proper divisors (4041987267700).

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

3213242400140 is a wasteful number, since it uses less digits than its factorization.

3213242400140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884463 (or 884461 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 3213242400140 its reverse (410042423123), we get a palindrome (3623284823263).

The spelling of 3213242400140 in words is "three trillion, two hundred thirteen billion, two hundred forty-two million, four hundred thousand, one hundred forty".