114241100340040 has 64 divisors (see below), whose sum is σ = 257203104971760. Its totient is φ = 45667889541120.

The previous prime is 114241100339987. The next prime is 114241100340049. The reversal of 114241100340040 is 40043001142411.

It can be written as a sum of positive squares in 8 ways, for example, as 106742495803876 + 7498604536164 = 10331626^2 + 2738358^2 .

It is a junction number, because it is equal to n+sod(n) for n = 114241100339987 and 114241100340014.

It is not an unprimeable number, because it can be changed into a prime (114241100340049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 680485710 + ... + 680653570.

Almost surely, 2^{114241100340040} is an apocalyptic number.

114241100340040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114241100340040 is an abundant number, since it is smaller than the sum of its proper divisors (142962004631720).

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

114241100340040 is a wasteful number, since it uses less digits than its factorization.

114241100340040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178402 (or 178398 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 114241100340040 its reverse (40043001142411), we get a palindrome (154284101482451).

The spelling of 114241100340040 in words is "one hundred fourteen trillion, two hundred forty-one billion, one hundred million, three hundred forty thousand, forty".