240414343414042 has 128 divisors (see below), whose sum is σ = 452317229568000. Its totient is φ = 93446082723840.

The previous prime is 240414343414039. The next prime is 240414343414051.

240414343414042 is nontrivially palindromic in base 10.

240414343414042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 240414343413986 and 240414343414004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8034955242 + ... + 8034985162.

It is an arithmetic number, because the mean of its divisors is an integer number (3533728356000).

Almost surely, 2^{240414343414042} is an apocalyptic number.

240414343414042 is a deficient number, since it is larger than the sum of its proper divisors (211902886153958).

240414343414042 is a wasteful number, since it uses less digits than its factorization.

240414343414042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32224.

The product of its (nonzero) digits is 589824, while the sum is 40.

The spelling of 240414343414042 in words is "two hundred forty trillion, four hundred fourteen billion, three hundred forty-three million, four hundred fourteen thousand, forty-two".