1414442000 has 80 divisors (see below), whose sum is σ = 3499871232. Its totient is φ = 552585600.

The previous prime is 1414441999. The next prime is 1414442039. The reversal of 1414442000 is 2444141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77777 + ... + 94223.

Almost surely, 2^1414442000 is an apocalyptic number.

1414442000 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 1414442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749935616).

1414442000 is an abundant number, since it is smaller than the sum of its proper divisors (2085429232).

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

1414442000 is a wasteful number, since it uses less digits than its factorization.

1414442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16513 (or 16497 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 1414442000 is about 37609.0680554571. The cubic root of 1414442000 is about 1122.5224820771.

Adding to 1414442000 its reverse (2444141), we get a palindrome (1416886141).

The spelling of 1414442000 in words is "one billion, four hundred fourteen million, four hundred forty-two thousand".