1356441312 has 192 divisors, whose sum is σ = 3907008000. Its totient is φ = 410572800.

The previous prime is 1356441311. The next prime is 1356441319. The reversal of 1356441312 is 2131446531.

It is a self number, because there is not a number n which added to its sum of digits gives 1356441312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1356441311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6816189 + ... + 6816387.

It is an arithmetic number, because the mean of its divisors is an integer number (20349000).

Almost surely, 2^1356441312 is an apocalyptic number.

1356441312 is a gapful number since it is divisible by the number (12) 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 1356441312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1953504000).

1356441312 is an abundant number, since it is smaller than the sum of its proper divisors (2550566688).

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

1356441312 is a wasteful number, since it uses less digits than its factorization.

1356441312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 361 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 1356441312 is about 36829.8969860085. The cubic root of 1356441312 is about 1106.9644388303.

Adding to 1356441312 its reverse (2131446531), we get a palindrome (3487887843).

The spelling of 1356441312 in words is "one billion, three hundred fifty-six million, four hundred forty-one thousand, three hundred twelve".