332133042000 has 160 divisors (see below), whose sum is σ = 1075281891840. Its totient is φ = 88197849600.

The previous prime is 332133041951. The next prime is 332133042013. The reversal of 332133042000 is 240331233.

It is a super-2 number, since 2×332133042000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1318194 + ... + 1549806.

It is an arithmetic number, because the mean of its divisors is an integer number (6720511824).

Almost surely, 2^332133042000 is an apocalyptic number.

332133042000 is a gapful number since it is divisible by the number (30) 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 332133042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537640945920).

332133042000 is an abundant number, since it is smaller than the sum of its proper divisors (743148849840).

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

332133042000 is a wasteful number, since it uses less digits than its factorization.

332133042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231878 (or 231862 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 332133042000 its reverse (240331233), we get a palindrome (332373373233).

The spelling of 332133042000 in words is "three hundred thirty-two billion, one hundred thirty-three million, forty-two thousand".