114659400240 has 720 divisors, whose sum is σ = 500090063616. Its totient is φ = 23267865600.

The previous prime is 114659400181. The next prime is 114659400241. The reversal of 114659400240 is 42004956411.

114659400240 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 5 + 9 + 400 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 114659400195 and 114659400204.

It is not an unprimeable number, because it can be changed into a prime (114659400241) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16684005 + ... + 16690875.

Almost surely, 2^114659400240 is an apocalyptic number.

114659400240 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 114659400240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250045031808).

114659400240 is an abundant number, since it is smaller than the sum of its proper divisors (385430663376).

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

114659400240 is a wasteful number, since it uses less digits than its factorization.

114659400240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6958 (or 6942 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 114659400240 in words is "one hundred fourteen billion, six hundred fifty-nine million, four hundred thousand, two hundred forty".