1409128992 has 144 divisors (see below), whose sum is σ = 4112297280. Its totient is φ = 457560576.

The previous prime is 1409128961. The next prime is 1409128993. The reversal of 1409128992 is 2998219041.

1409128992 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (1409128993) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1987134 + ... + 1987842.

It is an arithmetic number, because the mean of its divisors is an integer number (28557620).

Almost surely, 2^1409128992 is an apocalyptic number.

1409128992 is a gapful number since it is divisible by the number (12) 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 1409128992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2056148640).

1409128992 is an abundant number, since it is smaller than the sum of its proper divisors (2703168288).

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

1409128992 is a wasteful number, since it uses less digits than its factorization.

1409128992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 1409128992 is about 37538.3669330460. The cubic root of 1409128992 is about 1121.1152241967.

The spelling of 1409128992 in words is "one billion, four hundred nine million, one hundred twenty-eight thousand, nine hundred ninety-two".