1413034560 has 1008 divisors, whose sum is σ = 6504675840. Its totient is φ = 278691840.

The previous prime is 1413034559. The next prime is 1413034583. The reversal of 1413034560 is 654303141.

1413034560 is a `hidden beast` number, since 1 + 41 + 30 + 34 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 143 ways as a sum of consecutive naturals, for example, 45581745 + ... + 45581775.

Almost surely, 2^1413034560 is an apocalyptic number.

1413034560 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 1413034560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3252337920).

1413034560 is an abundant number, since it is smaller than the sum of its proper divisors (5091641280).

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

1413034560 is a wasteful number, since it uses less digits than its factorization.

1413034560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1413034560 is about 37590.3519536596. The cubic root of 1413034560 is about 1122.1500366527.

The spelling of 1413034560 in words is "one billion, four hundred thirteen million, thirty-four thousand, five hundred sixty".