1356221413040 has 160 divisors (see below), whose sum is σ = 3508909748736. Its totient is φ = 484107632640.

The previous prime is 1356221412979. The next prime is 1356221413117. The reversal of 1356221413040 is 403141226531.

It is a junction number, because it is equal to n+sod(n) for n = 1356221412988 and 1356221413006.

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, 32122184 + ... + 32164376.

Almost surely, 2^{1356221413040} is an apocalyptic number.

1356221413040 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 1356221413040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754454874368).

1356221413040 is an abundant number, since it is smaller than the sum of its proper divisors (2152688335696).

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

1356221413040 is a wasteful number, since it uses less digits than its factorization.

1356221413040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43247 (or 43241 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

Adding to 1356221413040 its reverse (403141226531), we get a palindrome (1759362639571).

The spelling of 1356221413040 in words is "one trillion, three hundred fifty-six billion, two hundred twenty-one million, four hundred thirteen thousand, forty".