114011040 has 288 divisors, whose sum is σ = 427932288. Its totient is φ = 25344000.

The previous prime is 114010957. The next prime is 114011063. The reversal of 114011040 is 40110411.

114011040 = T₄₁₆ + T₄₁₇ + ... + T₉₁₀.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 754965 + ... + 755115.

It is an arithmetic number, because the mean of its divisors is an integer number (1485876).

Almost surely, 2^114011040 is an apocalyptic number.

114011040 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 114011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213966144).

114011040 is an abundant number, since it is smaller than the sum of its proper divisors (313921248).

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

114011040 is a wasteful number, since it uses less digits than its factorization.

114011040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 185 counting only the distinct ones).

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

The square root of 114011040 is about 10677.5952348832. The cubic root of 114011040 is about 484.8964103699.

Adding to 114011040 its reverse (40110411), we get a palindrome (154121451).

It can be divided in two parts, 1 and 14011040, that added together give a palindrome (14011041).

The spelling of 114011040 in words is "one hundred fourteen million, eleven thousand, forty".