40424160 has 192 divisors, whose sum is σ = 148925952. Its totient is φ = 9025536.

The previous prime is 40424149. The next prime is 40424177. The reversal of 40424160 is 6142404.

It is a super-2 number, since 2×40424160² = 3268225423411200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 177967 + ... + 178193.

It is an arithmetic number, because the mean of its divisors is an integer number (775656).

Almost surely, 2^40424160 is an apocalyptic number.

40424160 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 40424160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74462976).

40424160 is an abundant number, since it is smaller than the sum of its proper divisors (108501792).

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

40424160 is a wasteful number, since it uses less digits than its factorization.

40424160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 40424160 is about 6357.9996854357. Note that the first 3 decimals coincide. The cubic root of 40424160 is about 343.1997804836.

Adding to 40424160 its reverse (6142404), we get a palindrome (46566564).

The spelling of 40424160 in words is "forty million, four hundred twenty-four thousand, one hundred sixty".