1416829987872 has 96 divisors (see below), whose sum is σ = 4450299356160. Its totient is φ = 435947685120.

The previous prime is 1416829987777. The next prime is 1416829987907. The reversal of 1416829987872 is 2787899286141.

1416829987872 is a `hidden beast` number, since 141 + 68 + 299 + 8 + 78 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 1416829987872.

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, 63059904 + ... + 63082367.

It is an arithmetic number, because the mean of its divisors is an integer number (46357284960).

Almost surely, 2^{1416829987872} is an apocalyptic number.

1416829987872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1416829987872 is an abundant number, since it is smaller than the sum of its proper divisors (3033469368288).

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

1416829987872 is a wasteful number, since it uses less digits than its factorization.

1416829987872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126142303 (or 126142289 counting only the distinct ones).

The product of its digits is 195084288, while the sum is 72.

The spelling of 1416829987872 in words is "one trillion, four hundred sixteen billion, eight hundred twenty-nine million, nine hundred eighty-seven thousand, eight hundred seventy-two".