4027039968 has 192 divisors, whose sum is σ = 13465751040. Its totient is φ = 1025851392.

The previous prime is 4027039921. The next prime is 4027039979. The reversal of 4027039968 is 8699307204.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207780 + ... + 226332.

It is an arithmetic number, because the mean of its divisors is an integer number (70134120).

Almost surely, 2^4027039968 is an apocalyptic number.

4027039968 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 4027039968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6732875520).

4027039968 is an abundant number, since it is smaller than the sum of its proper divisors (9438711072).

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

4027039968 is a wasteful number, since it uses less digits than its factorization.

4027039968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18609 (or 18601 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 4027039968 is about 63458.9628657765. The cubic root of 4027039968 is about 1590.9699615456.

The spelling of 4027039968 in words is "four billion, twenty-seven million, thirty-nine thousand, nine hundred sixty-eight".