114443213040 has 640 divisors, whose sum is σ = 434672179200. Its totient is φ = 27505336320.

The previous prime is 114443212993. The next prime is 114443213047. The reversal of 114443213040 is 40312344411.

114443213040 is a `hidden beast` number, since 1 + 1 + 4 + 443 + 213 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 114443212995 and 114443213013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114443213047) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 273133951 + ... + 273134369.

It is an arithmetic number, because the mean of its divisors is an integer number (679175280).

Almost surely, 2^114443213040 is an apocalyptic number.

114443213040 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 114443213040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217336089600).

114443213040 is an abundant number, since it is smaller than the sum of its proper divisors (320228966160).

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

114443213040 is a wasteful number, since it uses less digits than its factorization.

114443213040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 114443213040 its reverse (40312344411), we get a palindrome (154755557451).

The spelling of 114443213040 in words is "one hundred fourteen billion, four hundred forty-three million, two hundred thirteen thousand, forty".