1421648000 has 64 divisors (see below), whose sum is σ = 3534612120. Its totient is φ = 568652800.

The previous prime is 1421647999. The next prime is 1421648051. The reversal of 1421648000 is 8461241.

It can be written as a sum of positive squares in 4 ways, for example, as 929518144 + 492129856 = 30488^2 + 22184^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 28427 + ... + 60426.

Almost surely, 2^1421648000 is an apocalyptic number.

1421648000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1421648000 is an abundant number, since it is smaller than the sum of its proper divisors (2112964120).

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

1421648000 is an frugal number, since it uses more digits than its factorization.

1421648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88882 (or 88860 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 1421648000 is about 37704.7477116609. The cubic root of 1421648000 is about 1124.4255173893.

The spelling of 1421648000 in words is "one billion, four hundred twenty-one million, six hundred forty-eight thousand".