40042080 has 384 divisors, whose sum is σ = 162570240. Its totient is φ = 9123840.

The previous prime is 40042043. The next prime is 40042099. The reversal of 40042080 is 8024004.

It is a happy number.

40042080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1291665 + ... + 1291695.

It is an arithmetic number, because the mean of its divisors is an integer number (423360).

Almost surely, 2^40042080 is an apocalyptic number.

40042080 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 40042080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81285120).

40042080 is an abundant number, since it is smaller than the sum of its proper divisors (122528160).

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

40042080 is a wasteful number, since it uses less digits than its factorization.

40042080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 40042080 is about 6327.8811619688. The cubic root of 40042080 is about 342.1150736188.

Adding to 40042080 its reverse (8024004), we get a palindrome (48066084).

It can be divided in two parts, 4004 and 2080, that added together give a square (6084 = 78²).

The spelling of 40042080 in words is "forty million, forty-two thousand, eighty".