1252800040 has 64 divisors (see below), whose sum is σ = 3048192000. Its totient is φ = 461595648.

The previous prime is 1252799987. The next prime is 1252800049. The reversal of 1252800040 is 400082521.

It is a junction number, because it is equal to n+sod(n) for n = 1252799984 and 1252800020.

It is not an unprimeable number, because it can be changed into a prime (1252800049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12361 + ... + 51559.

It is an arithmetic number, because the mean of its divisors is an integer number (47628000).

Almost surely, 2^1252800040 is an apocalyptic number.

1252800040 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 1252800040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524096000).

1252800040 is an abundant number, since it is smaller than the sum of its proper divisors (1795391960).

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

1252800040 is a wasteful number, since it uses less digits than its factorization.

1252800040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39274 (or 39270 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 1252800040 is about 35394.9154540592. The cubic root of 1252800040 is about 1078.0210789590.

Adding to 1252800040 its reverse (400082521), we get a palindrome (1652882561).

The spelling of 1252800040 in words is "one billion, two hundred fifty-two million, eight hundred thousand, forty".