40079160 has 192 divisors, whose sum is σ = 147420000. Its totient is φ = 9354240.

The previous prime is 40079153. The next prime is 40079167. The reversal of 40079160 is 6197004.

40079160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40079153) and next prime (40079167).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40079167) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 114666 + ... + 115014.

Almost surely, 2^40079160 is an apocalyptic number.

40079160 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 40079160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73710000).

40079160 is an abundant number, since it is smaller than the sum of its proper divisors (107340840).

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

40079160 is a wasteful number, since it uses less digits than its factorization.

40079160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 40079160 is about 6330.8103746677. The cubic root of 40079160 is about 342.2206435026.

The spelling of 40079160 in words is "forty million, seventy-nine thousand, one hundred sixty".