1320221342440 has 512 divisors, whose sum is σ = 4158175150080. Its totient is φ = 363916800000.

The previous prime is 1320221342393. The next prime is 1320221342443. The reversal of 1320221342440 is 442431220231.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1320221342399 and 1320221342408.

It is not an unprimeable number, because it can be changed into a prime (1320221342443) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 125359975 + ... + 125370505.

It is an arithmetic number, because the mean of its divisors is an integer number (8121435840).

Almost surely, 2^{1320221342440} is an apocalyptic number.

1320221342440 is a gapful number since it is divisible by the number (10) 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 1320221342440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2079087575040).

1320221342440 is an abundant number, since it is smaller than the sum of its proper divisors (2837953807640).

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

1320221342440 is a wasteful number, since it uses less digits than its factorization.

1320221342440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10705 (or 10701 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 1320221342440 its reverse (442431220231), we get a palindrome (1762652562671).

It can be divided in two parts, 1320221 and 342440, that added together give a palindrome (1662661).

The spelling of 1320221342440 in words is "one trillion, three hundred twenty billion, two hundred twenty-one million, three hundred forty-two thousand, four hundred forty".