114020125231440 has 160 divisors (see below), whose sum is σ = 354074792048640. Its totient is φ = 30352709173248.

The previous prime is 114020125231409. The next prime is 114020125231447. The reversal of 114020125231440 is 44132521020411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 114020125231398 and 114020125231407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114020125231447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 671676814 + ... + 671846546.

It is an arithmetic number, because the mean of its divisors is an integer number (2212967450304).

Almost surely, 2^{114020125231440} is an apocalyptic number.

114020125231440 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 114020125231440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177037396024320).

114020125231440 is an abundant number, since it is smaller than the sum of its proper divisors (240054666817200).

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

114020125231440 is a wasteful number, since it uses less digits than its factorization.

114020125231440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174581 (or 174575 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 114020125231440 its reverse (44132521020411), we get a palindrome (158152646251851).

The spelling of 114020125231440 in words is "one hundred fourteen trillion, twenty billion, one hundred twenty-five million, two hundred thirty-one thousand, four hundred forty".