1413760000 has 165 divisors, whose sum is σ = 3608281699. Its totient is φ = 553472000.

The previous prime is 1413759989. The next prime is 1413760003. The reversal of 1413760000 is 673141.

The square root of 1413760000 is 37600.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 110838784 + 1302921216 = 10528^2 + 36096^2 .

It is a Duffinian number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (1413760003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 30079977 + ... + 30080023.

Almost surely, 2^1413760000 is an apocalyptic number.

1413760000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1413760000 is the 37600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1413760000

1413760000 is an abundant number, since it is smaller than the sum of its proper divisors (2194521699).

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

1413760000 is an frugal number, since it uses more digits than its factorization.

1413760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The cubic root of 1413760000 is about 1122.3420379140.

The spelling of 1413760000 in words is "one billion, four hundred thirteen million, seven hundred sixty thousand".