114214201040 has 20 divisors (see below), whose sum is σ = 265548017604. Its totient is φ = 45685680384.

The previous prime is 114214201033. The next prime is 114214201051. The reversal of 114214201040 is 40102412411.

It can be written as a sum of positive squares in 2 ways, for example, as 63774431296 + 50439769744 = 252536^2 + 224588^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 713838677 + ... + 713838836.

Almost surely, 2^114214201040 is an apocalyptic number.

114214201040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114214201040 is an abundant number, since it is smaller than the sum of its proper divisors (151333816564).

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

114214201040 is a wasteful number, since it uses less digits than its factorization.

114214201040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427677526 (or 1427677520 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 114214201040 its reverse (40102412411), we get a palindrome (154316613451).

The spelling of 114214201040 in words is "one hundred fourteen billion, two hundred fourteen million, two hundred one thousand, forty".