114122401310340 has 72 divisors (see below), whose sum is σ = 366534300688920. Its totient is φ = 28642485033984.

The previous prime is 114122401310299. The next prime is 114122401310353. The reversal of 114122401310340 is 43013104221411.

It is a happy number.

114122401310340 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 2 + 2 + 4 + 0 + 1 + 310 + 340 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5092216480836 + 109030184829504 = 2256594^2 + 10441752^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18647448135 + ... + 18647454254.

It is an arithmetic number, because the mean of its divisors is an integer number (5090754176235).

Almost surely, 2^{114122401310340} is an apocalyptic number.

114122401310340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114122401310340 is an abundant number, since it is smaller than the sum of its proper divisors (252411899378580).

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

114122401310340 is a wasteful number, since it uses less digits than its factorization.

114122401310340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37294902421 (or 37294902416 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 114122401310340 its reverse (43013104221411), we get a palindrome (157135505531751).

The spelling of 114122401310340 in words is "one hundred fourteen trillion, one hundred twenty-two billion, four hundred one million, three hundred ten thousand, three hundred forty".