114340010400 has 2304 divisors, whose sum is σ = 557964288000. Its totient is φ = 22353408000.

The previous prime is 114340010251. The next prime is 114340010401. The reversal of 114340010400 is 4010043411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114340010401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1874426370 + ... + 1874426430.

It is an arithmetic number, because the mean of its divisors is an integer number (242172000).

Almost surely, 2^114340010400 is an apocalyptic number.

114340010400 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 114340010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278982144000).

114340010400 is an abundant number, since it is smaller than the sum of its proper divisors (443624277600).

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

114340010400 is a wasteful number, since it uses less digits than its factorization.

114340010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 114340010400 its reverse (4010043411), we get a palindrome (118350053811).

The spelling of 114340010400 in words is "one hundred fourteen billion, three hundred forty million, ten thousand, four hundred".