1321406464 has 104 divisors (see below), whose sum is σ = 3198814848. Its totient is φ = 532807680.

The previous prime is 1321406453. The next prime is 1321406473. The reversal of 1321406464 is 4646041231.

It is a super-2 number, since 2×1321406464² = 3492230086201966592, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 486069 + ... + 488779.

Almost surely, 2^1321406464 is an apocalyptic number.

1321406464 is a gapful number since it is divisible by the number (14) 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 1321406464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599407424).

1321406464 is an abundant number, since it is smaller than the sum of its proper divisors (1877408384).

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

1321406464 is an equidigital number, since it uses as much as digits as its factorization.

1321406464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2759 (or 2737 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 1321406464 is about 36351.1549197546. The cubic root of 1321406464 is about 1097.3507773934.

Adding to 1321406464 its reverse (4646041231), we get a palindrome (5967447695).

It can be divided in two parts, 132 and 1406464, that added together give a square (1406596 = 1186²).

The spelling of 1321406464 in words is "one billion, three hundred twenty-one million, four hundred six thousand, four hundred sixty-four".