1251345440 has 48 divisors (see below), whose sum is σ = 2968176960. Its totient is φ = 498528000.

The previous prime is 1251345413. The next prime is 1251345463. The reversal of 1251345440 is 445431521.

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, 24581 + ... + 55739.

It is an arithmetic number, because the mean of its divisors is an integer number (61837020).

Almost surely, 2^1251345440 is an apocalyptic number.

1251345440 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 1251345440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484088480).

1251345440 is an abundant number, since it is smaller than the sum of its proper divisors (1716831520).

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

1251345440 is a wasteful number, since it uses less digits than its factorization.

1251345440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31425 (or 31417 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 1251345440 is about 35374.3613369909. The cubic root of 1251345440 is about 1077.6036947809.

Adding to 1251345440 its reverse (445431521), we get a palindrome (1696776961).

The spelling of 1251345440 in words is "one billion, two hundred fifty-one million, three hundred forty-five thousand, four hundred forty".