4138434560 has 256 divisors, whose sum is σ = 11230077600. Its totient is φ = 1453326336.

The previous prime is 4138434527. The next prime is 4138434583. The reversal of 4138434560 is 654348314.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (256).

It is a congruent number.

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, 61767647 + ... + 61767713.

Almost surely, 2^4138434560 is an apocalyptic number.

4138434560 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 4138434560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5615038800).

4138434560 is an abundant number, since it is smaller than the sum of its proper divisors (7091643040).

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

4138434560 is an equidigital number, since it uses as much as digits as its factorization.

4138434560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The square root of 4138434560 is about 64330.6657823468. The cubic root of 4138434560 is about 1605.5063615835.

The spelling of 4138434560 in words is "four billion, one hundred thirty-eight million, four hundred thirty-four thousand, five hundred sixty".