40114430120 has 96 divisors (see below), whose sum is σ = 97408536120. Its totient is φ = 14816256000.

The previous prime is 40114430117. The next prime is 40114430129. The reversal of 40114430120 is 2103441104.

It can be written as a sum of positive squares in 12 ways, for example, as 10852222276 + 29262207844 = 104174^2 + 171062^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 40114430092 and 40114430101.

It is not an unprimeable number, because it can be changed into a prime (40114430129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1899620 + ... + 1920620.

Almost surely, 2^40114430120 is an apocalyptic number.

40114430120 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 40114430120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48704268060).

40114430120 is an abundant number, since it is smaller than the sum of its proper divisors (57294106000).

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

40114430120 is a wasteful number, since it uses less digits than its factorization.

40114430120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21135 (or 21078 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 40114430120 its reverse (2103441104), we get a palindrome (42217871224).

The spelling of 40114430120 in words is "forty billion, one hundred fourteen million, four hundred thirty thousand, one hundred twenty".