4139482000 has 80 divisors (see below), whose sum is σ = 10025434224. Its totient is φ = 1653120000.

The previous prime is 4139481959. The next prime is 4139482037. The reversal of 4139482000 is 2849314.

It can be written as a sum of positive squares in 8 ways, for example, as 3294300816 + 845181184 = 57396^2 + 29072^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×4139482000² = 34270622456648000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1640740 + ... + 1643260.

Almost surely, 2^4139482000 is an apocalyptic number.

4139482000 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 4139482000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5012717112).

4139482000 is an abundant number, since it is smaller than the sum of its proper divisors (5885952224).

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

4139482000 is a wasteful number, since it uses less digits than its factorization.

4139482000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3365 (or 3349 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 4139482000 is about 64338.8063302390. The cubic root of 4139482000 is about 1605.6418016637.

The spelling of 4139482000 in words is "four billion, one hundred thirty-nine million, four hundred eighty-two thousand".