1405348128 has 90 divisors (see below), whose sum is σ = 4083338259. Its totient is φ = 458482368.

The previous prime is 1405348111. The next prime is 1405348187. The reversal of 1405348128 is 8218435041.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1405348128 is a `hidden beast` number, since 1 + 40 + 534 + 81 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 702674064 + 702674064 = 26508^2 + 26508^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=26508.

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 = 1405348092 and 1405348101.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 29901001 + ... + 29901047.

Almost surely, 2^1405348128 is an apocalyptic number.

1405348128 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 1405348128

1405348128 is an abundant number, since it is smaller than the sum of its proper divisors (2677990131).

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

1405348128 is an frugal number, since it uses more digits than its factorization.

1405348128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1405348128 is about 37487.9731113860. The cubic root of 1405348128 is about 1120.1116300300. Note that the first 3 decimals are identical.

The spelling of 1405348128 in words is "one billion, four hundred five million, three hundred forty-eight thousand, one hundred twenty-eight".