40090128 has 80 divisors (see below), whose sum is σ = 114326016. Its totient is φ = 12026880.

The previous prime is 40090123. The next prime is 40090181. The reversal of 40090128 is 82109004.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 40090098 and 40090107.

It is not an unprimeable number, because it can be changed into a prime (40090121) 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 15 ways as a sum of consecutive naturals, for example, 24801 + ... + 26367.

Almost surely, 2^40090128 is an apocalyptic number.

40090128 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 40090128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57163008).

40090128 is an abundant number, since it is smaller than the sum of its proper divisors (74235888).

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

40090128 is a wasteful number, since it uses less digits than its factorization.

40090128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 40090128 is about 6331.6765552261. The cubic root of 40090128 is about 342.2518578435.

The spelling of 40090128 in words is "forty million, ninety thousand, one hundred twenty-eight".