4200324442140 has 384 divisors, whose sum is σ = 12473271659520. Its totient is φ = 1054898380800.

The previous prime is 4200324442091. The next prime is 4200324442147. The reversal of 4200324442140 is 412444230024.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4200324442098 and 4200324442107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4200324442147) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3720393096 + ... + 3720394224.

It is an arithmetic number, because the mean of its divisors is an integer number (32482478280).

Almost surely, 2^{4200324442140} 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 4200324442140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6236635829760).

4200324442140 is an abundant number, since it is smaller than the sum of its proper divisors (8272947217380).

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

4200324442140 is a wasteful number, since it uses less digits than its factorization.

4200324442140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 4200324442140 its reverse (412444230024), we get a palindrome (4612768672164).

It can be divided in two parts, 4200324 and 442140, that added together give a palindrome (4642464).

The spelling of 4200324442140 in words is "four trillion, two hundred billion, three hundred twenty-four million, four hundred forty-two thousand, one hundred forty".