114255031302440 has 256 divisors, whose sum is σ = 300708193443840. Its totient is φ = 38261082240000.

The previous prime is 114255031302359. The next prime is 114255031302449. The reversal of 114255031302440 is 44203130552411.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 114255031302440.

It is not an unprimeable number, because it can be changed into a prime (114255031302449) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8260786325 + ... + 8260800155.

It is an arithmetic number, because the mean of its divisors is an integer number (1174641380640).

Almost surely, 2^{114255031302440} is an apocalyptic number.

114255031302440 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 114255031302440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150354096721920).

114255031302440 is an abundant number, since it is smaller than the sum of its proper divisors (186453162141400).

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

114255031302440 is a wasteful number, since it uses less digits than its factorization.

114255031302440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17264 (or 17260 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 114255031302440 its reverse (44203130552411), we get a palindrome (158458161854851).

The spelling of 114255031302440 in words is "one hundred fourteen trillion, two hundred fifty-five billion, thirty-one million, three hundred two thousand, four hundred forty".