114034132333400 has 192 divisors, whose sum is σ = 279965106086400. Its totient is φ = 43076513525760.

The previous prime is 114034132333393. The next prime is 114034132333409. The reversal of 114034132333400 is 4333231430411.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114034132333409) 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, 4731105749 + ... + 4731129851.

It is an arithmetic number, because the mean of its divisors is an integer number (1458151594200).

Almost surely, 2^{114034132333400} is an apocalyptic number.

114034132333400 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 114034132333400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139982553043200).

114034132333400 is an abundant number, since it is smaller than the sum of its proper divisors (165930973753000).

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

114034132333400 is a wasteful number, since it uses less digits than its factorization.

114034132333400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28018 (or 28009 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 114034132333400 its reverse (4333231430411), we get a palindrome (118367363763811).

The spelling of 114034132333400 in words is "one hundred fourteen trillion, thirty-four billion, one hundred thirty-two million, three hundred thirty-three thousand, four hundred".