114010420114000 has 80 divisors (see below), whose sum is σ = 282401030083536. Its totient is φ = 44491871232000.

The previous prime is 114010420113979. The next prime is 114010420114057. The reversal of 114010420114000 is 411024010411.

It can be written as a sum of positive squares in 8 ways, for example, as 90425721451536 + 23584698662464 = 9509244^2 + 4856408^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 695103489 + ... + 695267488.

Almost surely, 2^{114010420114000} is an apocalyptic number.

114010420114000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114010420114000 is an abundant number, since it is smaller than the sum of its proper divisors (168390609969536).

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

114010420114000 is a wasteful number, since it uses less digits than its factorization.

114010420114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390371041 (or 1390371025 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 114010420114000 its reverse (411024010411), we get a palindrome (114421444124411).

The spelling of 114010420114000 in words is "one hundred fourteen trillion, ten billion, four hundred twenty million, one hundred fourteen thousand".