1414052000 has 96 divisors (see below), whose sum is σ = 3487957200. Its totient is φ = 563404800.

The previous prime is 1414051981. The next prime is 1414052021. The reversal of 1414052000 is 2504141.

It can be written as a sum of positive squares in 8 ways, for example, as 121793296 + 1292258704 = 11036^2 + 35948^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1414052000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1347476 + ... + 1348524.

Almost surely, 2^1414052000 is an apocalyptic number.

1414052000 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 1414052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743978600).

1414052000 is an abundant number, since it is smaller than the sum of its proper divisors (2073905200).

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

1414052000 is a wasteful number, since it uses less digits than its factorization.

1414052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 1414052000 is about 37603.8827782451. The cubic root of 1414052000 is about 1122.4193026347.

Adding to 1414052000 its reverse (2504141), we get a palindrome (1416556141).

The spelling of 1414052000 in words is "one billion, four hundred fourteen million, fifty-two thousand".