1362411312 has 160 divisors (see below), whose sum is σ = 3771187200. Its totient is φ = 423118080.

The previous prime is 1362411289. The next prime is 1362411317. The reversal of 1362411312 is 2131142631.

It is a happy number.

It is a super-2 number, since 2×1362411312² = 3712329166131122688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1362411317) 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, 6846189 + ... + 6846387.

It is an arithmetic number, because the mean of its divisors is an integer number (23569920).

Almost surely, 2^1362411312 is an apocalyptic number.

1362411312 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 1362411312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1885593600).

1362411312 is an abundant number, since it is smaller than the sum of its proper divisors (2408775888).

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

1362411312 is a wasteful number, since it uses less digits than its factorization.

1362411312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 385 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 1362411312 is about 36910.8562891732. The cubic root of 1362411312 is about 1108.5860610375.

Adding to 1362411312 its reverse (2131142631), we get a palindrome (3493553943).

The spelling of 1362411312 in words is "one billion, three hundred sixty-two million, four hundred eleven thousand, three hundred twelve".