40438080 has 168 divisors, whose sum is σ = 146608800. Its totient is φ = 10202112.

The previous prime is 40438063. The next prime is 40438081. The reversal of 40438080 is 8083404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40438081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54351 + ... + 55089.

Almost surely, 2^40438080 is an apocalyptic number.

40438080 is a gapful number since it is divisible by the number (40) 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 40438080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73304400).

40438080 is an abundant number, since it is smaller than the sum of its proper divisors (106170720).

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

40438080 is a wasteful number, since it uses less digits than its factorization.

40438080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 40438080 is about 6359.0942751307. The cubic root of 40438080 is about 343.2391694092.

The spelling of 40438080 in words is "forty million, four hundred thirty-eight thousand, eighty".