114001313040 has 240 divisors, whose sum is σ = 396743022000. Its totient is φ = 29301178368.

The previous prime is 114001313039. The next prime is 114001313057. The reversal of 114001313040 is 40313100411.

It can be written as a sum of positive squares in 8 ways, for example, as 51389262864 + 62612050176 = 226692^2 + 250224^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12878536 + ... + 12887384.

It is an arithmetic number, because the mean of its divisors is an integer number (1653095925).

Almost surely, 2^114001313040 is an apocalyptic number.

114001313040 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 114001313040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198371511000).

114001313040 is an abundant number, since it is smaller than the sum of its proper divisors (282741708960).

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

114001313040 is a wasteful number, since it uses less digits than its factorization.

114001313040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9514 (or 9505 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 114001313040 its reverse (40313100411), we get a palindrome (154314413451).

The spelling of 114001313040 in words is "one hundred fourteen billion, one million, three hundred thirteen thousand, forty".