4112000000 has 154 divisors (see below), whose sum is σ = 10314828906. Its totient is φ = 1638400000.

The previous prime is 4111999973. The next prime is 4112000021. The reversal of 4112000000 is 2114.

It can be written as a sum of positive squares in 7 ways, for example, as 3759161344 + 352838656 = 61312^2 + 18784^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 15999872 + ... + 16000128.

Almost surely, 2^4112000000 is an apocalyptic number.

4112000000 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 4112000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5157414453).

4112000000 is an abundant number, since it is smaller than the sum of its proper divisors (6202828906).

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

4112000000 is an frugal number, since it uses more digits than its factorization.

4112000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 4112000000 is about 64124.8781675256. The cubic root of 4112000000 is about 1602.0806265313.

Adding to 4112000000 its reverse (2114), we get a palindrome (4112002114).

The spelling of 4112000000 in words is "four billion, one hundred twelve million", and thus it is an aban number.