114214200432040 has 16 divisors (see below), whose sum is σ = 256981950972180. Its totient is φ = 45685680172800.

The previous prime is 114214200432023. The next prime is 114214200432047. The reversal of 114214200432040 is 40234002412411.

114214200432040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 112119169985956 + 2095030446084 = 10588634^2 + 1447422^2 .

It is a super-2 number, since 2×114214200432040² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114214200432047) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1427677505361 + ... + 1427677505440.

Almost surely, 2^{114214200432040} is an apocalyptic number.

114214200432040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114214200432040 is an abundant number, since it is smaller than the sum of its proper divisors (142767750540140).

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

114214200432040 is a wasteful number, since it uses less digits than its factorization.

114214200432040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2855355010812 (or 2855355010808 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 114214200432040 its reverse (40234002412411), we get a palindrome (154448202844451).

The spelling of 114214200432040 in words is "one hundred fourteen trillion, two hundred fourteen billion, two hundred million, four hundred thirty-two thousand, forty".