1413808128 has 272 divisors, whose sum is σ = 4529813760. Its totient is φ = 434110464.

The previous prime is 1413808061. The next prime is 1413808133. The reversal of 1413808128 is 8218083141.

It is a tau number, because it is divible by the number of its divisors (272).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1413808092 and 1413808101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30081001 + ... + 30081047.

Almost surely, 2^1413808128 is an apocalyptic number.

1413808128 is a gapful number since it is divisible by the number (18) 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 1413808128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264906880).

1413808128 is an abundant number, since it is smaller than the sum of its proper divisors (3116005632).

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

1413808128 is an frugal number, since it uses more digits than its factorization.

1413808128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 1413808128 is about 37600.6399945533. The cubic root of 1413808128 is about 1122.3547735656.

The spelling of 1413808128 in words is "one billion, four hundred thirteen million, eight hundred eight thousand, one hundred twenty-eight".