40240211004114 has 128 divisors (see below), whose sum is σ = 89731644687360. Its totient is φ = 11927419929600.

The previous prime is 40240211004113. The next prime is 40240211004167. The reversal of 40240211004114 is 41140011204204.

40240211004114 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 2×40240211004114² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40240211004113) 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 63 ways as a sum of consecutive naturals, for example, 1343699289 + ... + 1343729235.

It is an arithmetic number, because the mean of its divisors is an integer number (701028474120).

Almost surely, 2^{40240211004114} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40240211004114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44865822343680).

40240211004114 is an abundant number, since it is smaller than the sum of its proper divisors (49491433683246).

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

40240211004114 is a wasteful number, since it uses less digits than its factorization.

40240211004114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31736.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 40240211004114 its reverse (41140011204204), we get a palindrome (81380222208318).

The spelling of 40240211004114 in words is "forty trillion, two hundred forty billion, two hundred eleven million, four thousand, one hundred fourteen".