40130434033120 has 24 divisors (see below), whose sum is σ = 94808150403624. Its totient is φ = 16052173613184.

The previous prime is 40130434033099. The next prime is 40130434033127. The reversal of 40130434033120 is 2133043403104.

40130434033120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40130434033120² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40130434033127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 125407606194 + ... + 125407606513.

It is an arithmetic number, because the mean of its divisors is an integer number (3950339600151).

Almost surely, 2^{40130434033120} is an apocalyptic number.

40130434033120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40130434033120 is an abundant number, since it is smaller than the sum of its proper divisors (54677716370504).

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

40130434033120 is a wasteful number, since it uses less digits than its factorization.

40130434033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250815212722 (or 250815212714 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 40130434033120 its reverse (2133043403104), we get a palindrome (42263477436224).

The spelling of 40130434033120 in words is "forty trillion, one hundred thirty billion, four hundred thirty-four million, thirty-three thousand, one hundred twenty".