1641228800 has 60 divisors (see below), whose sum is σ = 4066304286. Its totient is φ = 656486400.

The previous prime is 1641228769. The next prime is 1641228821. The reversal of 1641228800 is 88221461.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1206589696 + 434639104 = 34736^2 + 20848^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51311 + ... + 76910.

Almost surely, 2^1641228800 is an apocalyptic number.

1641228800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1641228800 is an abundant number, since it is smaller than the sum of its proper divisors (2425075486).

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

1641228800 is an equidigital number, since it uses as much as digits as its factorization.

1641228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128249 (or 128228 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 1641228800 is about 40512.0821484159. The cubic root of 1641228800 is about 1179.5681652631.

The spelling of 1641228800 in words is "one billion, six hundred forty-one million, two hundred twenty-eight thousand, eight hundred".