33402431120 has 40 divisors (see below), whose sum is σ = 78461295864. Its totient is φ = 13223227392.

The previous prime is 33402431047. The next prime is 33402431131. The reversal of 33402431120 is 2113420433.

It can be written as a sum of positive squares in 4 ways, for example, as 7411832464 + 25990598656 = 86092^2 + 161216^2 .

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

It is a super-2 number, since 2×33402431120² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2144459 + ... + 2159978.

Almost surely, 2^33402431120 is an apocalyptic number.

It is an amenable number.

33402431120 is an abundant number, since it is smaller than the sum of its proper divisors (45058864744).

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

33402431120 is a wasteful number, since it uses less digits than its factorization.

33402431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4304547 (or 4304541 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 33402431120 its reverse (2113420433), we get a palindrome (35515851553).

The spelling of 33402431120 in words is "thirty-three billion, four hundred two million, four hundred thirty-one thousand, one hundred twenty".