40128128120 has 64 divisors (see below), whose sum is σ = 92343888000. Its totient is φ = 15686809600.

The previous prime is 40128128107. The next prime is 40128128123. The reversal of 40128128120 is 2182182104.

40128128120 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 2×40128128120² (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 (40128128123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1302656 + ... + 1333104.

It is an arithmetic number, because the mean of its divisors is an integer number (1442873250).

Almost surely, 2^40128128120 is an apocalyptic number.

40128128120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40128128120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46171944000).

40128128120 is an abundant number, since it is smaller than the sum of its proper divisors (52215759880).

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

40128128120 is a wasteful number, since it uses less digits than its factorization.

40128128120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31208 (or 31204 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 29.

The spelling of 40128128120 in words is "forty billion, one hundred twenty-eight million, one hundred twenty-eight thousand, one hundred twenty".