114021131040 has 288 divisors, whose sum is σ = 427385911680. Its totient is φ = 27552780288.

The previous prime is 114021131027. The next prime is 114021131047. The reversal of 114021131040 is 40131120411.

114021131040 is a `hidden beast` number, since 1 + 140 + 211 + 310 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (114021131047) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 538684 + ... + 719876.

It is an arithmetic number, because the mean of its divisors is an integer number (1483978860).

Almost surely, 2^114021131040 is an apocalyptic number.

114021131040 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 114021131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213692955840).

114021131040 is an abundant number, since it is smaller than the sum of its proper divisors (313364780640).

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

114021131040 is a wasteful number, since it uses less digits than its factorization.

114021131040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181256 (or 181245 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 114021131040 its reverse (40131120411), we get a palindrome (154152251451).

The spelling of 114021131040 in words is "one hundred fourteen billion, twenty-one million, one hundred thirty-one thousand, forty".