4162941888 has 224 divisors, whose sum is σ = 13316395008. Its totient is φ = 1122508800.

The previous prime is 4162941863. The next prime is 4162941911. The reversal of 4162941888 is 8881492614.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 4162941888.

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, 1707006 + ... + 1709442.

It is an arithmetic number, because the mean of its divisors is an integer number (59448192).

Almost surely, 2^4162941888 is an apocalyptic number.

4162941888 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 4162941888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6658197504).

4162941888 is an abundant number, since it is smaller than the sum of its proper divisors (9153453120).

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

4162941888 is a wasteful number, since it uses less digits than its factorization.

4162941888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2531 (or 2521 counting only the distinct ones).

The product of its digits is 884736, while the sum is 51.

The square root of 4162941888 is about 64520.8639743765. The cubic root of 4162941888 is about 1608.6693334881.

The spelling of 4162941888 in words is "four billion, one hundred sixty-two million, nine hundred forty-one thousand, eight hundred eighty-eight".