1414034126000 has 80 divisors (see below), whose sum is σ = 3620260163520. Its totient is φ = 532342246400.

The previous prime is 1414034125997. The next prime is 1414034126047. The reversal of 1414034126000 is 6214304141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20760620 + ... + 20828619.

It is an arithmetic number, because the mean of its divisors is an integer number (45253252044).

Almost surely, 2^{1414034126000} is an apocalyptic number.

1414034126000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1414034126000 is an abundant number, since it is smaller than the sum of its proper divisors (2206226037520).

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

1414034126000 is a wasteful number, since it uses less digits than its factorization.

1414034126000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41589279 (or 41589263 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The spelling of 1414034126000 in words is "one trillion, four hundred fourteen billion, thirty-four million, one hundred twenty-six thousand".