1421721564256 has 96 divisors (see below), whose sum is σ = 3274343170560. Its totient is φ = 594943405056.

The previous prime is 1421721564239. The next prime is 1421721564281. The reversal of 1421721564256 is 6524651271241.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 31348765 + ... + 31394083.

It is an arithmetic number, because the mean of its divisors is an integer number (34107741360).

Almost surely, 2^{1421721564256} is an apocalyptic number.

1421721564256 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 1421721564256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637171585280).

1421721564256 is an abundant number, since it is smaller than the sum of its proper divisors (1852621606304).

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

1421721564256 is a wasteful number, since it uses less digits than its factorization.

1421721564256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48636 (or 48628 counting only the distinct ones).

The product of its digits is 806400, while the sum is 46.

The spelling of 1421721564256 in words is "one trillion, four hundred twenty-one billion, seven hundred twenty-one million, five hundred sixty-four thousand, two hundred fifty-six".