114121540440 has 256 divisors, whose sum is σ = 386964864000. Its totient is φ = 29910343680.

The previous prime is 114121540361. The next prime is 114121540451. The reversal of 114121540440 is 44045121411.

It is a happy number.

114121540440 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 215 + 4 + 0 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26605816 + ... + 26610104.

It is an arithmetic number, because the mean of its divisors is an integer number (1511581500).

Almost surely, 2^114121540440 is an apocalyptic number.

114121540440 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 114121540440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193482432000).

114121540440 is an abundant number, since it is smaller than the sum of its proper divisors (272843323560).

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

114121540440 is a wasteful number, since it uses less digits than its factorization.

114121540440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4727 (or 4717 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 114121540440 its reverse (44045121411), we get a palindrome (158166661851).

The spelling of 114121540440 in words is "one hundred fourteen billion, one hundred twenty-one million, five hundred forty thousand, four hundred forty".