114190440 has 128 divisors (see below), whose sum is σ = 421666560. Its totient is φ = 24090624.

The previous prime is 114190409. The next prime is 114190441. The reversal of 114190440 is 44091411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 114190440.

It is not an unprimeable number, because it can be changed into a prime (114190441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5692 + ... + 16148.

It is an arithmetic number, because the mean of its divisors is an integer number (3294270).

Almost surely, 2^114190440 is an apocalyptic number.

114190440 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 114190440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210833280).

114190440 is an abundant number, since it is smaller than the sum of its proper divisors (307476120).

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

114190440 is a wasteful number, since it uses less digits than its factorization.

114190440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10491 (or 10487 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 114190440 is about 10685.9927007274. The cubic root of 114190440 is about 485.1506103973.

The spelling of 114190440 in words is "one hundred fourteen million, one hundred ninety thousand, four hundred forty".