114242201042340 has 144 divisors (see below), whose sum is σ = 372704311022400. Its totient is φ = 26070317699328.

The previous prime is 114242201042323. The next prime is 114242201042351. The reversal of 114242201042340 is 43240102242411.

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

It is a junction number, because it is equal to n+sod(n) for n = 114242201042298 and 114242201042307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29567775 + ... + 33207494.

It is an arithmetic number, because the mean of its divisors is an integer number (2588224382100).

Almost surely, 2^{114242201042340} is an apocalyptic number.

114242201042340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114242201042340 is an abundant number, since it is smaller than the sum of its proper divisors (258462109980060).

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

114242201042340 is a wasteful number, since it uses less digits than its factorization.

114242201042340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62775914 (or 62775905 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 114242201042340 its reverse (43240102242411), we get a palindrome (157482303284751).

The spelling of 114242201042340 in words is "one hundred fourteen trillion, two hundred forty-two billion, two hundred one million, forty-two thousand, three hundred forty".