114242014411410 has 96 divisors (see below), whose sum is σ = 283970529311040. Its totient is φ = 29413086497536.

The previous prime is 114242014411373. The next prime is 114242014411411. The reversal of 114242014411410 is 14114410242411.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (114242014411411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1124677384 + ... + 1124778956.

It is an arithmetic number, because the mean of its divisors is an integer number (2958026346990).

Almost surely, 2^{114242014411410} is an apocalyptic number.

114242014411410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114242014411410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141985264655520).

114242014411410 is an abundant number, since it is smaller than the sum of its proper divisors (169728514899630).

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

114242014411410 is a wasteful number, since it uses less digits than its factorization.

114242014411410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146220 (or 146191 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

Adding to 114242014411410 its reverse (14114410242411), we get a palindrome (128356424653821).

The spelling of 114242014411410 in words is "one hundred fourteen trillion, two hundred forty-two billion, fourteen million, four hundred eleven thousand, four hundred ten".