221412401331440 has 160 divisors (see below), whose sum is σ = 564279940200960. Its totient is φ = 80127157017600.

The previous prime is 221412401331427. The next prime is 221412401331491. The reversal of 221412401331440 is 44133104214122.

It is a junction number, because it is equal to n+sod(n) for n = 221412401331397 and 221412401331406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 465475007 + ... + 465950433.

It is an arithmetic number, because the mean of its divisors is an integer number (3526749626256).

Almost surely, 2^{221412401331440} is an apocalyptic number.

221412401331440 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 221412401331440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282139970100480).

221412401331440 is an abundant number, since it is smaller than the sum of its proper divisors (342867538869520).

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

221412401331440 is a wasteful number, since it uses less digits than its factorization.

221412401331440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477991 (or 477985 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 221412401331440 its reverse (44133104214122), we get a palindrome (265545505545562).

The spelling of 221412401331440 in words is "two hundred twenty-one trillion, four hundred twelve billion, four hundred one million, three hundred thirty-one thousand, four hundred forty".