114254024400441 has 12 divisors (see below), whose sum is σ = 165291053509140. Its totient is φ = 76050520657920.

The previous prime is 114254024400391. The next prime is 114254024400449. The reversal of 114254024400441 is 144004420452411.

114254024400441 is a `hidden beast` number, since 1 + 14 + 2 + 540 + 24 + 40 + 0 + 4 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 57483751894416 + 56770272506025 = 7581804^2 + 7534605^2 .

It is not a de Polignac number, because 114254024400441 - 2⁹ = 114254024399929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114254024400396 and 114254024400405.

It is not an unprimeable number, because it can be changed into a prime (114254024400449) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9902405776 + ... + 9902417313.

It is an arithmetic number, because the mean of its divisors is an integer number (13774254459095).

Almost surely, 2^{114254024400441} is an apocalyptic number.

It is an amenable number.

114254024400441 is a deficient number, since it is larger than the sum of its proper divisors (51037029108699).

114254024400441 is a wasteful number, since it uses less digits than its factorization.

114254024400441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19804823736 (or 19804823733 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 36.

Adding to 114254024400441 its reverse (144004420452411), we get a palindrome (258258444852852).

The spelling of 114254024400441 in words is "one hundred fourteen trillion, two hundred fifty-four billion, twenty-four million, four hundred thousand, four hundred forty-one".