4032513223120 has 40 divisors (see below), whose sum is σ = 9375705557064. Its totient is φ = 1612985966592.

The previous prime is 4032513223117. The next prime is 4032513223127. The reversal of 4032513223120 is 213223152304.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 381326010256 + 3651187212864 = 617516^2 + 1910808^2 .

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

It is a super-2 number, since 2×4032513223120² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4032513223127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7752672 + ... + 8256448.

Almost surely, 2^{4032513223120} is an apocalyptic number.

4032513223120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4032513223120 is an abundant number, since it is smaller than the sum of its proper divisors (5343192333944).

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

4032513223120 is a wasteful number, since it uses less digits than its factorization.

4032513223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603847 (or 603841 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 4032513223120 its reverse (213223152304), we get a palindrome (4245736375424).

The spelling of 4032513223120 in words is "four trillion, thirty-two billion, five hundred thirteen million, two hundred twenty-three thousand, one hundred twenty".