1412338806144 has 512 divisors, whose sum is σ = 5043839616000. Its totient is φ = 380056043520.

The previous prime is 1412338806143. The next prime is 1412338806157. The reversal of 1412338806144 is 4416088332141.

1412338806144 is a `hidden beast` number, since 1 + 4 + 1 + 23 + 3 + 8 + 8 + 0 + 614 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1412338806144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1412338806143) 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, 79510224 + ... + 79527984.

It is an arithmetic number, because the mean of its divisors is an integer number (9851249250).

Almost surely, 2^{1412338806144} is an apocalyptic number.

1412338806144 is a gapful number since it is divisible by the number (14) 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 1412338806144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2521919808000).

1412338806144 is an abundant number, since it is smaller than the sum of its proper divisors (3631500809856).

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

1412338806144 is a wasteful number, since it uses less digits than its factorization.

1412338806144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17983 (or 17965 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 1412338806144 in words is "one trillion, four hundred twelve billion, three hundred thirty-eight million, eight hundred six thousand, one hundred forty-four".