40382160 has 240 divisors, whose sum is σ = 157739904. Its totient is φ = 8322048.

The previous prime is 40382159. The next prime is 40382161. The reversal of 40382160 is 6128304.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40382159) and next prime (40382161).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 40382160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40382161) 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 47 ways as a sum of consecutive naturals, for example, 939099 + ... + 939141.

Almost surely, 2^40382160 is an apocalyptic number.

40382160 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 40382160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78869952).

40382160 is an abundant number, since it is smaller than the sum of its proper divisors (117357744).

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

40382160 is a wasteful number, since it uses less digits than its factorization.

40382160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 40382160 is about 6354.6959014574. The cubic root of 40382160 is about 343.0808797588.

The spelling of 40382160 in words is "forty million, three hundred eighty-two thousand, one hundred sixty".