4098040128 has 840 divisors, whose sum is σ = 16334137512. Its totient is φ = 1003290624.

The previous prime is 4098040127. The next prime is 4098040129. The reversal of 4098040128 is 8210408904.

It is an interprime number because it is at equal distance from previous prime (4098040127) and next prime (4098040129).

It can be written as a sum of positive squares in 4 ways, for example, as 561121344 + 3536918784 = 23688^2 + 59472^2 .

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 = 4098040092 and 4098040101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4098040127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 56137500 + ... + 56137572.

Almost surely, 2^4098040128 is an apocalyptic number.

4098040128 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 4098040128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8167068756).

4098040128 is an abundant number, since it is smaller than the sum of its proper divisors (12236097384).

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

4098040128 is a wasteful number, since it uses less digits than its factorization.

4098040128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 4098040128 is about 64015.9365158396. The cubic root of 4098040128 is about 1600.2655975754.

The spelling of 4098040128 in words is "four billion, ninety-eight million, forty thousand, one hundred twenty-eight".