40021114120 has 192 divisors, whose sum is σ = 102814069680. Its totient is φ = 13933928448.

The previous prime is 40021114117. The next prime is 40021114127. The reversal of 40021114120 is 2141112004.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 15574540804 + 24446573316 = 124798^2 + 156354^2 .

It is a junction number, because it is equal to n+sod(n) for n = 40021114094 and 40021114103.

It is not an unprimeable number, because it can be changed into a prime (40021114127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20079844 + ... + 20081836.

Almost surely, 2^40021114120 is an apocalyptic number.

40021114120 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 40021114120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51407034840).

40021114120 is an abundant number, since it is smaller than the sum of its proper divisors (62792955560).

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

40021114120 is a wasteful number, since it uses less digits than its factorization.

40021114120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2136 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 40021114120 its reverse (2141112004), we get a palindrome (42162226124).

The spelling of 40021114120 in words is "forty billion, twenty-one million, one hundred fourteen thousand, one hundred twenty".