4027965312 has 256 divisors, whose sum is σ = 13045294080. Its totient is φ = 1074954240.

The previous prime is 4027965301. The next prime is 4027965323. The reversal of 4027965312 is 2135697204.

It is an interprime number because it is at equal distance from previous prime (4027965301) and next prime (4027965323).

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, 8270733 + ... + 8271219.

It is an arithmetic number, because the mean of its divisors is an integer number (50958180).

Almost surely, 2^4027965312 is an apocalyptic number.

4027965312 is a gapful number since it is divisible by the number (42) 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 4027965312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6522647040).

4027965312 is an abundant number, since it is smaller than the sum of its proper divisors (9017328768).

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

4027965312 is a wasteful number, since it uses less digits than its factorization.

4027965312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 4027965312 is about 63466.2533319874. The cubic root of 4027965312 is about 1591.0918113222.

The spelling of 4027965312 in words is "four billion, twenty-seven million, nine hundred sixty-five thousand, three hundred twelve".