1403326241856 has 1344 divisors, whose sum is σ = 5346158837760. Its totient is φ = 344242483200.

The previous prime is 1403326241851. The next prime is 1403326241881. The reversal of 1403326241856 is 6581426233041.

1403326241856 is a `hidden beast` number, since 1 + 4 + 0 + 3 + 3 + 2 + 624 + 18 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is not an unprimeable number, because it can be changed into a prime (1403326241851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11049812865 + ... + 11049812991.

Almost surely, 2^{1403326241856} is an apocalyptic number.

1403326241856 is a gapful number since it is divisible by the number (16) 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 1403326241856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2673079418880).

1403326241856 is an abundant number, since it is smaller than the sum of its proper divisors (3942832595904).

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

1403326241856 is a wasteful number, since it uses less digits than its factorization.

1403326241856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 1403326241856 in words is "one trillion, four hundred three billion, three hundred twenty-six million, two hundred forty-one thousand, eight hundred fifty-six".