4080400128 has 324 divisors, whose sum is σ = 13994940960. Its totient is φ = 1139539968.

The previous prime is 4080400109. The next prime is 4080400139. The reversal of 4080400128 is 8210040804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5305728 + ... + 5306496.

Almost surely, 2^4080400128 is an apocalyptic number.

4080400128 is a gapful number since it is divisible by the number (48) 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 4080400128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6997470480).

4080400128 is an abundant number, since it is smaller than the sum of its proper divisors (9914540832).

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

4080400128 is a wasteful number, since it uses less digits than its factorization.

4080400128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 4080400128 is about 63878.0097373110. The cubic root of 4080400128 is about 1597.9661825036.

The spelling of 4080400128 in words is "four billion, eighty million, four hundred thousand, one hundred twenty-eight".