214400100010042 has 128 divisors (see below), whose sum is σ = 356273900236800. Its totient is φ = 96312474316800.

The previous prime is 214400100009967. The next prime is 214400100010043. The reversal of 214400100010042 is 240010001004412.

It is not an unprimeable number, because it can be changed into a prime (214400100010043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33390449992 + ... + 33390456412.

It is an arithmetic number, because the mean of its divisors is an integer number (2783389845600).

Almost surely, 2^{214400100010042} is an apocalyptic number.

214400100010042 is a deficient number, since it is larger than the sum of its proper divisors (141873800226758).

214400100010042 is a wasteful number, since it uses less digits than its factorization.

214400100010042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7712.

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 214400100010042 its reverse (240010001004412), we get a palindrome (454410101014454).

The spelling of 214400100010042 in words is "two hundred fourteen trillion, four hundred billion, one hundred million, ten thousand, forty-two".