1421217600 has 252 divisors, whose sum is σ = 5127296832. Its totient is φ = 344396800.

The previous prime is 1421217571. The next prime is 1421217607. The reversal of 1421217600 is 67121241.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1421217607) 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 35 ways as a sum of consecutive naturals, for example, 579577 + ... + 582023.

It is an arithmetic number, because the mean of its divisors is an integer number (20346416).

Almost surely, 2^1421217600 is an apocalyptic number.

1421217600 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 1421217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2563648416).

1421217600 is an abundant number, since it is smaller than the sum of its proper divisors (3706079232).

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

1421217600 is a wasteful number, since it uses less digits than its factorization.

1421217600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494 (or 2468 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 1421217600 is about 37699.0397755699. The cubic root of 1421217600 is about 1124.3120336977.

Adding to 1421217600 its reverse (67121241), we get a palindrome (1488338841).

The spelling of 1421217600 in words is "one billion, four hundred twenty-one million, two hundred seventeen thousand, six hundred".