42333032002000 has 40 divisors (see below), whose sum is σ = 102361271385672. Its totient is φ = 16933212800000.

The previous prime is 42333032001971. The next prime is 42333032002007. The reversal of 42333032002000 is 20023033324.

It can be written as a sum of positive squares in 4 ways, for example, as 556044627856 + 41776987374144 = 745684^2 + 6463512^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×42333032002000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42333032002007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10583256001 + ... + 10583260000.

Almost surely, 2^{42333032002000} is an apocalyptic number.

42333032002000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42333032002000 is an abundant number, since it is smaller than the sum of its proper divisors (60028239383672).

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

42333032002000 is a wasteful number, since it uses less digits than its factorization.

42333032002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21166516024 (or 21166516008 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 22.

Adding to 42333032002000 its reverse (20023033324), we get a palindrome (42353055035324).

The spelling of 42333032002000 in words is "forty-two trillion, three hundred thirty-three billion, thirty-two million, two thousand".