114141440 has 72 divisors (see below), whose sum is σ = 312486720. Its totient is φ = 39131136.

The previous prime is 114141439. The next prime is 114141463. The reversal of 114141440 is 44141411.

It is a happy number.

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

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, 2591 + ... + 15329.

Almost surely, 2^114141440 is an apocalyptic number.

114141440 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 114141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156243360).

114141440 is an abundant number, since it is smaller than the sum of its proper divisors (198345280).

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

114141440 is an equidigital number, since it uses as much as digits as its factorization.

114141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12767 (or 12753 counting only the distinct ones).

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

The square root of 114141440 is about 10683.6997337065. The cubic root of 114141440 is about 485.0812065107.

Adding to 114141440 its reverse (44141411), we get a palindrome (158282851).

The spelling of 114141440 in words is "one hundred fourteen million, one hundred forty-one thousand, four hundred forty".