40423968 has 192 divisors, whose sum is σ = 131241600. Its totient is φ = 12026880.

The previous prime is 40423967. The next prime is 40423993. The reversal of 40423968 is 86932404.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (40423961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 662658 + ... + 662718.

It is an arithmetic number, because the mean of its divisors is an integer number (683550).

Almost surely, 2^40423968 is an apocalyptic number.

40423968 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 40423968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65620800).

40423968 is an abundant number, since it is smaller than the sum of its proper divisors (90817632).

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

40423968 is a wasteful number, since it uses less digits than its factorization.

40423968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 40423968 is about 6357.9845863292. The cubic root of 40423968 is about 343.1992371248.

It can be divided in two parts, 4042396 and 8, that added together give a palindrome (4042404).

The spelling of 40423968 in words is "forty million, four hundred twenty-three thousand, nine hundred sixty-eight".