33642020420240 has 20 divisors (see below), whose sum is σ = 78217697477244. Its totient is φ = 13456808168064.

The previous prime is 33642020420231. The next prime is 33642020420251. The reversal of 33642020420240 is 4202402024633.

It can be written as a sum of positive squares in 2 ways, for example, as 22403220105616 + 11238800314624 = 4733204^2 + 3352432^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×33642020420240² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33642020420197 and 33642020420206.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 210262627547 + ... + 210262627706.

Almost surely, 2^{33642020420240} is an apocalyptic number.

It is an amenable number.

33642020420240 is an abundant number, since it is smaller than the sum of its proper divisors (44575677057004).

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

33642020420240 is a wasteful number, since it uses less digits than its factorization.

33642020420240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420525255266 (or 420525255260 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 33642020420240 its reverse (4202402024633), we get a palindrome (37844422444873).

The spelling of 33642020420240 in words is "thirty-three trillion, six hundred forty-two billion, twenty million, four hundred twenty thousand, two hundred forty".