114331012141410 has 192 divisors, whose sum is σ = 301597867584000. Its totient is φ = 30044952138240.

The previous prime is 114331012141337. The next prime is 114331012141417. The reversal of 114331012141410 is 14141210133411.

114331012141410 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 3 + 101 + 2 + 141 + 410 = 666.

It is not an unprimeable number, because it can be changed into a prime (114331012141417) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9542687620 + ... + 9542699600.

It is an arithmetic number, because the mean of its divisors is an integer number (1570822227000).

Almost surely, 2^{114331012141410} is an apocalyptic number.

114331012141410 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 114331012141410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150798933792000).

114331012141410 is an abundant number, since it is smaller than the sum of its proper divisors (187266855442590).

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

114331012141410 is a wasteful number, since it uses less digits than its factorization.

114331012141410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14521 (or 14518 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 114331012141410 its reverse (14141210133411), we get a palindrome (128472222274821).

The spelling of 114331012141410 in words is "one hundred fourteen trillion, three hundred thirty-one billion, twelve million, one hundred forty-one thousand, four hundred ten".