40408128 has 126 divisors (see below), whose sum is σ = 121318782. Its totient is φ = 12856320.

The previous prime is 40408087. The next prime is 40408139. The reversal of 40408128 is 82180404.

It can be written as a sum of positive squares in only one way, i.e., 35426304 + 4981824 = 5952^2 + 2232^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 553500 + ... + 553572.

Almost surely, 2^40408128 is an apocalyptic number.

40408128 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 40408128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60659391).

40408128 is an abundant number, since it is smaller than the sum of its proper divisors (80910654).

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

40408128 is a wasteful number, since it uses less digits than its factorization.

40408128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 109 counting only the distinct ones).

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

The square root of 40408128 is about 6356.7387865162. The cubic root of 40408128 is about 343.1544041012.

The spelling of 40408128 in words is "forty million, four hundred eight thousand, one hundred twenty-eight".