4132331334120 has 256 divisors, whose sum is σ = 13682724249600. Its totient is φ = 990048706560.

The previous prime is 4132331334101. The next prime is 4132331334137. The reversal of 4132331334120 is 214331332314.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92038317 + ... + 92083203.

It is an arithmetic number, because the mean of its divisors is an integer number (53448141600).

Almost surely, 2^{4132331334120} is an apocalyptic number.

4132331334120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4132331334120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6841362124800).

4132331334120 is an abundant number, since it is smaller than the sum of its proper divisors (9550392915480).

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

4132331334120 is a wasteful number, since it uses less digits than its factorization.

4132331334120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45728 (or 45724 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 4132331334120 its reverse (214331332314), we get a palindrome (4346662666434).

The spelling of 4132331334120 in words is "four trillion, one hundred thirty-two billion, three hundred thirty-one million, three hundred thirty-four thousand, one hundred twenty".