6401810832400 has 135 divisors (see below), whose sum is σ = 15602929837509. Its totient is φ = 2524188533760.

The previous prime is 6401810832397. The next prime is 6401810832437. The reversal of 6401810832400 is 42380181046.

The square root of 6401810832400 is 2530180.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 4023602715664 + 2378208116736 = 2005892^2 + 1542144^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6401810832400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3694061934 + ... + 3694063666.

Almost surely, 2^{6401810832400} is an apocalyptic number.

6401810832400 is the 2530180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6401810832400

6401810832400 is an abundant number, since it is smaller than the sum of its proper divisors (9201119005109).

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

6401810832400 is an frugal number, since it uses more digits than its factorization.

6401810832400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3630 (or 1813 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The spelling of 6401810832400 in words is "six trillion, four hundred one billion, eight hundred ten million, eight hundred thirty-two thousand, four hundred".