1406067886080 has 1728 divisors, whose sum is σ = 5976135547200. Its totient is φ = 302721269760.

The previous prime is 1406067886063. The next prime is 1406067886081. The reversal of 1406067886080 is 806887606041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1406067886081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4968437619 + ... + 4968437901.

It is an arithmetic number, because the mean of its divisors is an integer number (3458411775).

Almost surely, 2^{1406067886080} is an apocalyptic number.

1406067886080 is a gapful number since it is divisible by the number (10) 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 1406067886080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2988067773600).

1406067886080 is an abundant number, since it is smaller than the sum of its proper divisors (4570067661120).

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

1406067886080 is a wasteful number, since it uses less digits than its factorization.

1406067886080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 1406067886080 in words is "one trillion, four hundred six billion, sixty-seven million, eight hundred eighty-six thousand, eighty".