40492160 has 64 divisors (see below), whose sum is σ = 97675200. Its totient is φ = 16051200.

The previous prime is 40492157. The next prime is 40492163. The reversal of 40492160 is 6129404.

It is an interprime number because it is at equal distance from previous prime (40492157) and next prime (40492163).

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (40492163) 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 7 ways as a sum of consecutive naturals, for example, 96431 + ... + 96849.

It is an arithmetic number, because the mean of its divisors is an integer number (1526175).

Almost surely, 2^40492160 is an apocalyptic number.

40492160 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 40492160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48837600).

40492160 is an abundant number, since it is smaller than the sum of its proper divisors (57183040).

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

40492160 is a wasteful number, since it uses less digits than its factorization.

40492160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 40492160 is about 6363.3450322924. The cubic root of 40492160 is about 343.3921119294.

The spelling of 40492160 in words is "forty million, four hundred ninety-two thousand, one hundred sixty".