1416133000 has 96 divisors (see below), whose sum is σ = 3465385560. Its totient is φ = 541622400.

The previous prime is 1416132967. The next prime is 1416133009. The reversal of 1416133000 is 3316141.

It can be written as a sum of positive squares in 4 ways, for example, as 85488516 + 1330644484 = 9246^2 + 36478^2 .

It is not an unprimeable number, because it can be changed into a prime (1416133009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 527662 + ... + 530338.

Almost surely, 2^1416133000 is an apocalyptic number.

1416133000 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 1416133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732692780).

1416133000 is an abundant number, since it is smaller than the sum of its proper divisors (2049252560).

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

1416133000 is a wasteful number, since it uses less digits than its factorization.

1416133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2744 (or 2707 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 1416133000 is about 37631.5426205198. The cubic root of 1416133000 is about 1122.9696382882.

Adding to 1416133000 its reverse (3316141), we get a palindrome (1419449141).

The spelling of 1416133000 in words is "one billion, four hundred sixteen million, one hundred thirty-three thousand".