40005160 has 64 divisors (see below), whose sum is σ = 97977600. Its totient is φ = 14612736.

The previous prime is 40005157. The next prime is 40005167. The reversal of 40005160 is 6150004.

It is not an unprimeable number, because it can be changed into a prime (40005167) 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, 55281 + ... + 55999.

It is an arithmetic number, because the mean of its divisors is an integer number (1530900).

Almost surely, 2^40005160 is an apocalyptic number.

40005160 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 40005160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48988800).

40005160 is an abundant number, since it is smaller than the sum of its proper divisors (57972440).

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

40005160 is a wasteful number, since it uses less digits than its factorization.

40005160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 40005160 is about 6324.9632409999. The cubic root of 40005160 is about 342.0098944962.

Adding to 40005160 its reverse (6150004), we get a palindrome (46155164).

The spelling of 40005160 in words is "forty million, five thousand, one hundred sixty".