1414080146800 has 60 divisors (see below), whose sum is σ = 3427392507840. Its totient is φ = 560626447360.

The previous prime is 1414080146789. The next prime is 1414080146803. The reversal of 1414080146800 is 86410804141.

It is a self number, because there is not a number n which added to its sum of digits gives 1414080146800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414080146803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15597280 + ... + 15687679.

It is an arithmetic number, because the mean of its divisors is an integer number (57123208464).

Almost surely, 2^{1414080146800} is an apocalyptic number.

1414080146800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1414080146800 is an abundant number, since it is smaller than the sum of its proper divisors (2013312361040).

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

1414080146800 is a wasteful number, since it uses less digits than its factorization.

1414080146800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31285090 (or 31285079 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The spelling of 1414080146800 in words is "one trillion, four hundred fourteen billion, eighty million, one hundred forty-six thousand, eight hundred".