1213325440 has 128 divisors (see below), whose sum is σ = 3053635200. Its totient is φ = 460111872.

The previous prime is 1213325431. The next prime is 1213325471. The reversal of 1213325440 is 445233121.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2045784 + ... + 2046376.

It is an arithmetic number, because the mean of its divisors is an integer number (23856525).

Almost surely, 2^1213325440 is an apocalyptic number.

1213325440 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 1213325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526817600).

1213325440 is an abundant number, since it is smaller than the sum of its proper divisors (1840309760).

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

1213325440 is a wasteful number, since it uses less digits than its factorization.

1213325440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 1213325440 is about 34832.8213040517. The cubic root of 1213325440 is about 1066.5775411644.

Adding to 1213325440 its reverse (445233121), we get a palindrome (1658558561).

It can be divided in two parts, 12133 and 25440, that added together give a palindrome (37573).

The spelling of 1213325440 in words is "one billion, two hundred thirteen million, three hundred twenty-five thousand, four hundred forty".