114001040 has 40 divisors (see below), whose sum is σ = 266550648. Its totient is φ = 45342720.

The previous prime is 114000977. The next prime is 114001051. The reversal of 114001040 is 40100411.

It can be written as a sum of positive squares in 4 ways, for example, as 11505664 + 102495376 = 3392^2 + 10124^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10544 + ... + 18416.

Almost surely, 2^114001040 is an apocalyptic number.

114001040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114001040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133275324).

114001040 is an abundant number, since it is smaller than the sum of its proper divisors (152549608).

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

114001040 is a wasteful number, since it uses less digits than its factorization.

114001040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8067 (or 8061 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 114001040 is about 10677.1269543824. The cubic root of 114001040 is about 484.8822330707.

Adding to 114001040 its reverse (40100411), we get a palindrome (154101451).

The spelling of 114001040 in words is "one hundred fourteen million, one thousand, forty".