114001041 has 64 divisors (see below), whose sum is σ = 202752000. Its totient is φ = 55218240.

The previous prime is 114000977. The next prime is 114001051. The reversal of 114001041 is 140100411.

It is not a de Polignac number, because 114001041 - 2⁶ = 114000977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114001051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 228210 + ... + 228708.

It is an arithmetic number, because the mean of its divisors is an integer number (3168000).

Almost surely, 2^114001041 is an apocalyptic number.

114001041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114001041 is a deficient number, since it is larger than the sum of its proper divisors (88750959).

114001041 is a wasteful number, since it uses less digits than its factorization.

114001041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 114001041 is about 10677.1270012115. The cubic root of 114001041 is about 484.8822344885.

Adding to 114001041 its reverse (140100411), we get a palindrome (254101452).

The spelling of 114001041 in words is "one hundred fourteen million, one thousand, forty-one".