1421314400 has 108 divisors (see below), whose sum is σ = 3814154316. Its totient is φ = 516806400.

The previous prime is 1421314397. The next prime is 1421314403. The reversal of 1421314400 is 44131241.

It is an interprime number because it is at equal distance from previous prime (1421314397) and next prime (1421314403).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1421314403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 89459 + ... + 104141.

Almost surely, 2^1421314400 is an apocalyptic number.

1421314400 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 1421314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1907077158).

1421314400 is an abundant number, since it is smaller than the sum of its proper divisors (2392839916).

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

1421314400 is a wasteful number, since it uses less digits than its factorization.

1421314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14725 (or 14701 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1421314400 is about 37700.3236060382. The cubic root of 1421314400 is about 1124.3375589783.

Adding to 1421314400 its reverse (44131241), we get a palindrome (1465445641).

The spelling of 1421314400 in words is "one billion, four hundred twenty-one million, three hundred fourteen thousand, four hundred".