4008401328 has 40 divisors (see below), whose sum is σ = 10370282688. Its totient is φ = 1334166592.

The previous prime is 4008401323. The next prime is 4008401399. The reversal of 4008401328 is 8231048004.

It is a super-3 number, since 3×4008401328³ (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4008401295 and 4008401304.

It is not an unprimeable number, because it can be changed into a prime (4008401323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28350 + ... + 93917.

Almost surely, 2^4008401328 is an apocalyptic number.

4008401328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4008401328 is an abundant number, since it is smaller than the sum of its proper divisors (6361881360).

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

4008401328 is a wasteful number, since it uses less digits than its factorization.

4008401328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122961 (or 122955 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 4008401328 is about 63311.9366944339. The cubic root of 4008401328 is about 1588.5116312111.

The spelling of 4008401328 in words is "four billion, eight million, four hundred one thousand, three hundred twenty-eight".