4111380000 has 720 divisors, whose sum is σ = 18053171136. Its totient is φ = 864000000.

The previous prime is 4111379983. The next prime is 4111380029. The reversal of 4111380000 is 831114.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×4111380000³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16379875 + ... + 16380125.

Almost surely, 2^4111380000 is an apocalyptic number.

4111380000 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 4111380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9026585568).

4111380000 is an abundant number, since it is smaller than the sum of its proper divisors (13941791136).

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

4111380000 is a wasteful number, since it uses less digits than its factorization.

4111380000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 4111380000 is about 64120.0436681074. The cubic root of 4111380000 is about 1602.0001028677. Note that the first 3 decimals are identical.

The spelling of 4111380000 in words is "four billion, one hundred eleven million, three hundred eighty thousand".