1421020400 has 120 divisors (see below), whose sum is σ = 3490044480. Its totient is φ = 555909120.

The previous prime is 1421020397. The next prime is 1421020427. The reversal of 1421020400 is 40201241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6098684 + ... + 6098916.

It is an arithmetic number, because the mean of its divisors is an integer number (29083704).

Almost surely, 2^1421020400 is an apocalyptic number.

1421020400 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 1421020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745022240).

1421020400 is an abundant number, since it is smaller than the sum of its proper divisors (2069024080).

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

1421020400 is a wasteful number, since it uses less digits than its factorization.

1421020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1421020400 is about 37696.4242336060. The cubic root of 1421020400 is about 1124.2600302634.

Adding to 1421020400 its reverse (40201241), we get a palindrome (1461221641).

The spelling of 1421020400 in words is "one billion, four hundred twenty-one million, twenty thousand, four hundred".