1413201000 has 128 divisors (see below), whose sum is σ = 4641436800. Its totient is φ = 357004800.

The previous prime is 1413200993. The next prime is 1413201017. The reversal of 1413201000 is 1023141.

It is a happy number.

1413201000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44604 + ... + 69396.

It is an arithmetic number, because the mean of its divisors is an integer number (36261225).

Almost surely, 2^1413201000 is an apocalyptic number.

1413201000 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 1413201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2320718400).

1413201000 is an abundant number, since it is smaller than the sum of its proper divisors (3228235800).

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

1413201000 is a wasteful number, since it uses less digits than its factorization.

1413201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24836 (or 24822 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1413201000 is about 37592.5657544148. The cubic root of 1413201000 is about 1122.1940939190.

Adding to 1413201000 its reverse (1023141), we get a palindrome (1414224141).

The spelling of 1413201000 in words is "one billion, four hundred thirteen million, two hundred one thousand".