4138455360 has 448 divisors, whose sum is σ = 15402885120. Its totient is φ = 932290560.

The previous prime is 4138455331. The next prime is 4138455361. The reversal of 4138455360 is 635548314.

4138455360 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4138455361) 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, 7350439 + ... + 7351001.

It is an arithmetic number, because the mean of its divisors is an integer number (34381440).

Almost surely, 2^4138455360 is an apocalyptic number.

4138455360 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 4138455360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7701442560).

4138455360 is an abundant number, since it is smaller than the sum of its proper divisors (11264429760).

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

4138455360 is a wasteful number, since it uses less digits than its factorization.

4138455360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The square root of 4138455360 is about 64330.8274468781. The cubic root of 4138455360 is about 1605.5090513668.

The spelling of 4138455360 in words is "four billion, one hundred thirty-eight million, four hundred fifty-five thousand, three hundred sixty".