114200378240 has 128 divisors (see below), whose sum is σ = 295063413120. Its totient is φ = 42015375360.

The previous prime is 114200378231. The next prime is 114200378249. The reversal of 114200378240 is 42873002411.

It is an interprime number because it is at equal distance from previous prime (114200378231) and next prime (114200378249).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 114200378197 and 114200378206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114200378249) 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, 2313497 + ... + 2362343.

It is an arithmetic number, because the mean of its divisors is an integer number (2305182915).

Almost surely, 2^114200378240 is an apocalyptic number.

114200378240 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 114200378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147531706560).

114200378240 is an abundant number, since it is smaller than the sum of its proper divisors (180863034880).

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

114200378240 is a wasteful number, since it uses less digits than its factorization.

114200378240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49160 (or 49148 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The spelling of 114200378240 in words is "one hundred fourteen billion, two hundred million, three hundred seventy-eight thousand, two hundred forty".