1252312452440 has 128 divisors (see below), whose sum is σ = 3282888960000. Its totient is φ = 421083007488.

The previous prime is 1252312452439. The next prime is 1252312452449. The reversal of 1252312452440 is 442542132521.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 1252312452440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1252312452449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3105899 + ... + 3485861.

It is an arithmetic number, because the mean of its divisors is an integer number (25647570000).

Almost surely, 2^{1252312452440} is an apocalyptic number.

1252312452440 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 1252312452440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641444480000).

1252312452440 is an abundant number, since it is smaller than the sum of its proper divisors (2030576507560).

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

1252312452440 is a wasteful number, since it uses less digits than its factorization.

1252312452440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380209 (or 380205 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 1252312452440 its reverse (442542132521), we get a palindrome (1694854584961).

The spelling of 1252312452440 in words is "one trillion, two hundred fifty-two billion, three hundred twelve million, four hundred fifty-two thousand, four hundred forty".