1420032000 has 288 divisors, whose sum is σ = 4837145040. Its totient is φ = 369868800.

The previous prime is 1420031939. The next prime is 1420032017. The reversal of 1420032000 is 2300241.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 33023979 + ... + 33024021.

Almost surely, 2^1420032000 is an apocalyptic number.

1420032000 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 1420032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2418572520).

1420032000 is an abundant number, since it is smaller than the sum of its proper divisors (3417113040).

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

1420032000 is an frugal number, since it uses more digits than its factorization.

1420032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1420032000 is about 37683.3119563554. The cubic root of 1420032000 is about 1123.9993076747. Note that the first 3 decimals are identical.

Adding to 1420032000 its reverse (2300241), we get a palindrome (1422332241).

The spelling of 1420032000 in words is "one billion, four hundred twenty million, thirty-two thousand".