114018240 has 336 divisors, whose sum is σ = 445934592. Its totient is φ = 24164352.

The previous prime is 114018239. The next prime is 114018263. The reversal of 114018240 is 42810411.

114018240 = 60² + 61² + ... + 699².

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2425897 + ... + 2425943.

Almost surely, 2^114018240 is an apocalyptic number.

114018240 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 114018240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222967296).

114018240 is an abundant number, since it is smaller than the sum of its proper divisors (331916352).

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

114018240 is a wasteful number, since it uses less digits than its factorization.

114018240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 114018240 is about 10677.9323841276. The cubic root of 114018240 is about 484.9066175120.

Adding to 114018240 its reverse (42810411), we get a palindrome (156828651).

It can be divided in two parts, 1140 and 18240, that multiplied together give a square (20793600 = 4560²).

The spelling of 114018240 in words is "one hundred fourteen million, eighteen thousand, two hundred forty".