4000243968 has 540 divisors, whose sum is σ = 14435807232. Its totient is φ = 1097349120.

The previous prime is 4000243901. The next prime is 4000243969. The reversal of 4000243968 is 8693420004.

It is a happy number.

4000243968 is a `hidden beast` number, since 400 + 0 + 243 + 9 + 6 + 8 = 666.

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 (4000243969) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 31497921 + ... + 31498047.

Almost surely, 2^4000243968 is an apocalyptic number.

4000243968 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 4000243968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7217903616).

4000243968 is an abundant number, since it is smaller than the sum of its proper divisors (10435563264).

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

4000243968 is a wasteful number, since it uses less digits than its factorization.

4000243968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 170 counting only the distinct ones).

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

The square root of 4000243968 is about 63247.4819103496. The cubic root of 4000243968 is about 1587.4333242337.

The spelling of 4000243968 in words is "four billion, two hundred forty-three thousand, nine hundred sixty-eight".