4138884960 has 384 divisors, whose sum is σ = 15879628800. Its totient is φ = 904071168.

The previous prime is 4138884917. The next prime is 4138884961. The reversal of 4138884960 is 694888314.

It is a super-2 number, since 2×4138884960² = 34260737424228403200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4138884961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3786174 + ... + 3787266.

It is an arithmetic number, because the mean of its divisors is an integer number (41353200).

Almost surely, 2^4138884960 is an apocalyptic number.

4138884960 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 4138884960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7939814400).

4138884960 is an abundant number, since it is smaller than the sum of its proper divisors (11740743840).

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

4138884960 is a wasteful number, since it uses less digits than its factorization.

4138884960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The square root of 4138884960 is about 64334.1663503927. The cubic root of 4138884960 is about 1605.5646037218.

The spelling of 4138884960 in words is "four billion, one hundred thirty-eight million, eight hundred eighty-four thousand, nine hundred sixty".