221046265440 has 1440 divisors, whose sum is σ = 1056035534400. Its totient is φ = 42371112960.

The previous prime is 221046265423. The next prime is 221046265459. The reversal of 221046265440 is 44562640122.

221046265440 is a `hidden beast` number, since 2 + 2 + 104 + 6 + 2 + 6 + 544 + 0 = 666.

221046265440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×221046265440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 221046265395 and 221046265404.

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 142701786 + ... + 142703334.

It is an arithmetic number, because the mean of its divisors is an integer number (733358010).

Almost surely, 2^221046265440 is an apocalyptic number.

221046265440 is a gapful number since it is divisible by the number (20) 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 221046265440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528017767200).

221046265440 is an abundant number, since it is smaller than the sum of its proper divisors (834989268960).

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

221046265440 is a wasteful number, since it uses less digits than its factorization.

221046265440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 221046265440 in words is "two hundred twenty-one billion, forty-six million, two hundred sixty-five thousand, four hundred forty".