114514040 has 64 divisors (see below), whose sum is σ = 282268800. Its totient is φ = 41617408.

The previous prime is 114514039. The next prime is 114514067. The reversal of 114514040 is 40415411.

It is a super-2 number, since 2×114514040² = 26226930714243200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16817 + ... + 22623.

It is an arithmetic number, because the mean of its divisors is an integer number (4410450).

Almost surely, 2^114514040 is an apocalyptic number.

114514040 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 114514040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141134400).

114514040 is an abundant number, since it is smaller than the sum of its proper divisors (167754760).

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

114514040 is a wasteful number, since it uses less digits than its factorization.

114514040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5864 (or 5860 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 114514040 is about 10701.1233055226. The cubic root of 114514040 is about 485.6084615392.

Adding to 114514040 its reverse (40415411), we get a palindrome (154929451).

The spelling of 114514040 in words is "one hundred fourteen million, five hundred fourteen thousand, forty".