1409812128 has 72 divisors (see below), whose sum is σ = 4157663328. Its totient is φ = 469934784.

The previous prime is 1409812127. The next prime is 1409812153. The reversal of 1409812128 is 8212189041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 1409812092 and 1409812101.

It is not an unprimeable number, because it can be changed into a prime (1409812121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82876 + ... + 98427.

It is an arithmetic number, because the mean of its divisors is an integer number (57745324).

Almost surely, 2^1409812128 is an apocalyptic number.

1409812128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1409812128 is an abundant number, since it is smaller than the sum of its proper divisors (2747851200).

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

1409812128 is an equidigital number, since it uses as much as digits as its factorization.

1409812128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181328 (or 181308 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1409812128 is about 37547.4650009824. The cubic root of 1409812128 is about 1121.2963645664.

The spelling of 1409812128 in words is "one billion, four hundred nine million, eight hundred twelve thousand, one hundred twenty-eight".