1421110400 has 96 divisors (see below), whose sum is σ = 3546151380. Its totient is φ = 562688000.

The previous prime is 1421110391. The next prime is 1421110417. The reversal of 1421110400 is 40111241.

It can be written as a sum of positive squares in 6 ways, for example, as 908178496 + 512931904 = 30136^2 + 22648^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 321002 + ... + 325398.

Almost surely, 2^1421110400 is an apocalyptic number.

1421110400 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 1421110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773075690).

1421110400 is an abundant number, since it is smaller than the sum of its proper divisors (2125040980).

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

1421110400 is a wasteful number, since it uses less digits than its factorization.

1421110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4522 (or 4505 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1421110400 is about 37697.6179618819. The cubic root of 1421110400 is about 1124.2837646791.

Adding to 1421110400 its reverse (40111241), we get a palindrome (1461221641).

The spelling of 1421110400 in words is "one billion, four hundred twenty-one million, one hundred ten thousand, four hundred".