4027988160 has 1008 divisors, whose sum is σ = 18050475456. Its totient is φ = 817496064.

The previous prime is 4027988141. The next prime is 4027988191. The reversal of 4027988160 is 618897204.

4027988160 is a `hidden beast` number, since 402 + 7 + 9 + 88 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 55177884 + ... + 55177956.

Almost surely, 2^4027988160 is an apocalyptic number.

4027988160 is a gapful number since it is divisible by the number (40) 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 4027988160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9025237728).

4027988160 is an abundant number, since it is smaller than the sum of its proper divisors (14022487296).

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

4027988160 is a wasteful number, since it uses less digits than its factorization.

4027988160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 4027988160 is about 63466.4333329044. The cubic root of 4027988160 is about 1591.0948197225.

The spelling of 4027988160 in words is "four billion, twenty-seven million, nine hundred eighty-eight thousand, one hundred sixty".