1421380800 has 504 divisors, whose sum is σ = 5896051200. Its totient is φ = 318044160.

The previous prime is 1421380769. The next prime is 1421380837. The reversal of 1421380800 is 80831241.

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5947081 + ... + 5947319.

Almost surely, 2^1421380800 is an apocalyptic number.

1421380800 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 1421380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2948025600).

1421380800 is an abundant number, since it is smaller than the sum of its proper divisors (4474670400).

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

1421380800 is a wasteful number, since it uses less digits than its factorization.

1421380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1421380800 is about 37701.2042247990. The cubic root of 1421380800 is about 1124.3550673850.

The spelling of 1421380800 in words is "one billion, four hundred twenty-one million, three hundred eighty thousand, eight hundred".