40133335120 has 40 divisors (see below), whose sum is σ = 93628523016. Its totient is φ = 15998535168.

The previous prime is 40133335117. The next prime is 40133335129. The reversal of 40133335120 is 2153333104.

It can be written as a sum of positive squares in 4 ways, for example, as 4317015616 + 35816319504 = 65704^2 + 189252^2 .

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

It is a super-2 number, since 2×40133335120² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40133335129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 832647 + ... + 879526.

Almost surely, 2^40133335120 is an apocalyptic number.

40133335120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40133335120 is an abundant number, since it is smaller than the sum of its proper divisors (53495187896).

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

40133335120 is a wasteful number, since it uses less digits than its factorization.

40133335120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712479 (or 1712473 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 25.

Adding to 40133335120 its reverse (2153333104), we get a palindrome (42286668224).

The spelling of 40133335120 in words is "forty billion, one hundred thirty-three million, three hundred thirty-five thousand, one hundred twenty".