3200401133442 has 96 divisors (see below), whose sum is σ = 7403329290240. Its totient is φ = 996234876000.

The previous prime is 3200401133401. The next prime is 3200401133459. The reversal of 3200401133442 is 2443311040023.

3200401133442 is a `hidden beast` number, since 3 + 200 + 4 + 0 + 1 + 13 + 3 + 442 = 666.

3200401133442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198885817 + ... + 198901907.

It is an arithmetic number, because the mean of its divisors is an integer number (77118013440).

Almost surely, 2^{3200401133442} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3200401133442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3701664645120).

3200401133442 is an abundant number, since it is smaller than the sum of its proper divisors (4202928156798).

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

3200401133442 is a wasteful number, since it uses less digits than its factorization.

3200401133442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24380 (or 24377 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 3200401133442 its reverse (2443311040023), we get a palindrome (5643712173465).

The spelling of 3200401133442 in words is "three trillion, two hundred billion, four hundred one million, one hundred thirty-three thousand, four hundred forty-two".