332001142020 has 72 divisors (see below), whose sum is σ = 1017041177880. Its totient is φ = 87657062400.

The previous prime is 332001142007. The next prime is 332001142027. The reversal of 332001142020 is 20241100233.

332001142020 is a `hidden beast` number, since 33 + 200 + 11 + 420 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17973156096 + 314027985924 = 134064^2 + 560382^2 .

It is a super-3 number, since 3×332001142020³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 332001141984 and 332001142002.

It is not an unprimeable number, because it can be changed into a prime (332001142027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9112765 + ... + 9149124.

It is an arithmetic number, because the mean of its divisors is an integer number (14125571915).

Almost surely, 2^332001142020 is an apocalyptic number.

332001142020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

332001142020 is an abundant number, since it is smaller than the sum of its proper divisors (685040035860).

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

332001142020 is a wasteful number, since it uses less digits than its factorization.

332001142020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18262005 (or 18262000 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 332001142020 its reverse (20241100233), we get a palindrome (352242242253).

The spelling of 332001142020 in words is "three hundred thirty-two billion, one million, one hundred forty-two thousand, twenty".