403256813821056 has 1536 divisors, whose sum is σ = 1347839784345600. Its totient is φ = 120026165575680.

The previous prime is 403256813820967. The next prime is 403256813821061. The reversal of 403256813821056 is 650128318652304.

403256813821056 is a `hidden beast` number, since 4 + 0 + 3 + 2 + 568 + 1 + 3 + 8 + 21 + 0 + 56 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 403256813820993 and 403256813821011.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 246338920270 + ... + 246338921906.

It is an arithmetic number, because the mean of its divisors is an integer number (877499859600).

Almost surely, 2^{403256813821056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 403256813821056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673919892172800).

403256813821056 is an abundant number, since it is smaller than the sum of its proper divisors (944582970524544).

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

403256813821056 is a wasteful number, since it uses less digits than its factorization.

403256813821056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 403256813821056 in words is "four hundred three trillion, two hundred fifty-six billion, eight hundred thirteen million, eight hundred twenty-one thousand, fifty-six".