40953168 has 80 divisors (see below), whose sum is σ = 120111360. Its totient is φ = 13353984.

The previous prime is 40953167. The next prime is 40953169. The reversal of 40953168 is 86135904.

It is an interprime number because it is at equal distance from previous prime (40953167) and next prime (40953169).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40953161) 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, 19296 + ... + 21312.

It is an arithmetic number, because the mean of its divisors is an integer number (1501392).

Almost surely, 2^40953168 is an apocalyptic number.

40953168 is a gapful number since it is divisible by the number (48) 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 40953168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60055680).

40953168 is an abundant number, since it is smaller than the sum of its proper divisors (79158192).

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

40953168 is a wasteful number, since it uses less digits than its factorization.

40953168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2081 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 40953168 is about 6399.4662277412. The cubic root of 40953168 is about 344.6903838475.

The spelling of 40953168 in words is "forty million, nine hundred fifty-three thousand, one hundred sixty-eight".