1416220176672 has 720 divisors, whose sum is σ = 5130837613440. Its totient is φ = 374093697024.

The previous prime is 1416220176671. The next prime is 1416220176673. The reversal of 1416220176672 is 2766710226141.

1416220176672 is a `hidden beast` number, since 1 + 4 + 1 + 622 + 0 + 17 + 6 + 6 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1416220176671) and next prime (1416220176673).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1416220176671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1073706829 + ... + 1073708147.

It is an arithmetic number, because the mean of its divisors is an integer number (7126163352).

Almost surely, 2^{1416220176672} is an apocalyptic number.

1416220176672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1416220176672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2565418806720).

1416220176672 is an abundant number, since it is smaller than the sum of its proper divisors (3714617436768).

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

1416220176672 is a wasteful number, since it uses less digits than its factorization.

1416220176672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 1416220176672 in words is "one trillion, four hundred sixteen billion, two hundred twenty million, one hundred seventy-six thousand, six hundred seventy-two".