1252332430400 has 42 divisors (see below), whose sum is σ = 3081520490490. Its totient is φ = 500932971520.

The previous prime is 1252332430381. The next prime is 1252332430411. The reversal of 1252332430400 is 40342332521.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 4071460864 + 1248260969536 = 63808^2 + 1117256^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 391352285 + ... + 391355484.

Almost surely, 2^{1252332430400} is an apocalyptic number.

1252332430400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1252332430400 is an abundant number, since it is smaller than the sum of its proper divisors (1829188060090).

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

1252332430400 is an equidigital number, since it uses as much as digits as its factorization.

1252332430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782707791 (or 782707776 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

Adding to 1252332430400 its reverse (40342332521), we get a palindrome (1292674762921).

The spelling of 1252332430400 in words is "one trillion, two hundred fifty-two billion, three hundred thirty-two million, four hundred thirty thousand, four hundred".