114330540334400 has 84 divisors (see below), whose sum is σ = 302964938620092. Its totient is φ = 42214353346560.

The previous prime is 114330540334399. The next prime is 114330540334427. The reversal of 114330540334400 is 4433045033411.

It can be written as a sum of positive squares in 6 ways, for example, as 29993059934464 + 84337480399936 = 5476592^2 + 9183544^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2748309497 + ... + 2748351096.

It is an arithmetic number, because the mean of its divisors is an integer number (3606725459763).

Almost surely, 2^{114330540334400} is an apocalyptic number.

114330540334400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114330540334400 is an abundant number, since it is smaller than the sum of its proper divisors (188634398285692).

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

114330540334400 is a wasteful number, since it uses less digits than its factorization.

114330540334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5496660628 (or 5496660613 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 35.

Adding to 114330540334400 its reverse (4433045033411), we get a palindrome (118763585367811).

The spelling of 114330540334400 in words is "one hundred fourteen trillion, three hundred thirty billion, five hundred forty million, three hundred thirty-four thousand, four hundred".