114397194240 has 1920 divisors, whose sum is σ = 530853523200. Its totient is φ = 22932357120.

The previous prime is 114397194217. The next prime is 114397194251. The reversal of 114397194240 is 42491793411.

114397194240 is a `hidden beast` number, since 1 + 1 + 4 + 397 + 19 + 4 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1875363810 + ... + 1875363870.

It is an arithmetic number, because the mean of its divisors is an integer number (276486210).

Almost surely, 2^114397194240 is an apocalyptic number.

114397194240 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 114397194240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265426761600).

114397194240 is an abundant number, since it is smaller than the sum of its proper divisors (416456328960).

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

114397194240 is a wasteful number, since it uses less digits than its factorization.

114397194240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 114397194240 in words is "one hundred fourteen billion, three hundred ninety-seven million, one hundred ninety-four thousand, two hundred forty".