1406806548480 has 1344 divisors, whose sum is σ = 5478705872640. Its totient is φ = 345131974656.

The previous prime is 1406806548467. The next prime is 1406806548529. The reversal of 1406806548480 is 848456086041.

It is a happy number.

1406806548480 is a `hidden beast` number, since 1 + 4 + 0 + 6 + 80 + 6 + 5 + 484 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 8131829674 + ... + 8131829846.

It is an arithmetic number, because the mean of its divisors is an integer number (4076418060).

Almost surely, 2^{1406806548480} is an apocalyptic number.

1406806548480 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 1406806548480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2739352936320).

1406806548480 is an abundant number, since it is smaller than the sum of its proper divisors (4071899324160).

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

1406806548480 is an equidigital number, since it uses as much as digits as its factorization.

1406806548480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 1406806548480 in words is "one trillion, four hundred six billion, eight hundred six million, five hundred forty-eight thousand, four hundred eighty".