114000042411200 has 336 divisors, whose sum is σ = 309960880171488. Its totient is φ = 40922112000000.

The previous prime is 114000042411137. The next prime is 114000042411313. The reversal of 114000042411200 is 2114240000411.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 598956050 + ... + 599146350.

It is an arithmetic number, because the mean of its divisors is an integer number (922502619558).

Almost surely, 2^{114000042411200} is an apocalyptic number.

114000042411200 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 114000042411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154980440085744).

114000042411200 is an abundant number, since it is smaller than the sum of its proper divisors (195960837760288).

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

114000042411200 is a wasteful number, since it uses less digits than its factorization.

114000042411200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190772 (or 190757 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 114000042411200 its reverse (2114240000411), we get a palindrome (116114282411611).

The spelling of 114000042411200 in words is "one hundred fourteen trillion, forty-two million, four hundred eleven thousand, two hundred".