1413888000 has 384 divisors, whose sum is σ = 5396751360. Its totient is φ = 321945600.

The previous prime is 1413887989. The next prime is 1413888013. The reversal of 1413888000 is 8883141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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, 5375869 + ... + 5376131.

It is an arithmetic number, because the mean of its divisors is an integer number (14054040).

Almost surely, 2^1413888000 is an apocalyptic number.

1413888000 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 1413888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698375680).

1413888000 is an abundant number, since it is smaller than the sum of its proper divisors (3982863360).

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

1413888000 is an equidigital number, since it uses as much as digits as its factorization.

1413888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 1413888000 is about 37601.7020891342. The cubic root of 1413888000 is about 1122.3759086901.

The spelling of 1413888000 in words is "one billion, four hundred thirteen million, eight hundred eighty-eight thousand".