114033040 has 80 divisors (see below), whose sum is σ = 292320576. Its totient is φ = 41024000.

The previous prime is 114033037. The next prime is 114033043. The reversal of 114033040 is 40330411.

114033040 = T₂₈₅ + T₂₈₆ + ... + T₈₉₀.

It is an interprime number because it is at equal distance from previous prime (114033037) and next prime (114033043).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (114033043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88239 + ... + 89521.

Almost surely, 2^114033040 is an apocalyptic number.

114033040 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 114033040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146160288).

114033040 is an abundant number, since it is smaller than the sum of its proper divisors (178287536).

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

114033040 is a wasteful number, since it uses less digits than its factorization.

114033040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 114033040 is about 10678.6253797013. The cubic root of 114033040 is about 484.9275975103.

Adding to 114033040 its reverse (40330411), we get a palindrome (154363451).

It can be divided in two parts, 1 and 14033040, that added together give a palindrome (14033041).

The spelling of 114033040 in words is "one hundred fourteen million, thirty-three thousand, forty".