4138134048 has 96 divisors (see below), whose sum is σ = 12109648320. Its totient is φ = 1374796800.

The previous prime is 4138134031. The next prime is 4138134061. The reversal of 4138134048 is 8404318314.

4138134048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 257448 + ... + 273048.

It is an arithmetic number, because the mean of its divisors is an integer number (126142170).

Almost surely, 2^4138134048 is an apocalyptic number.

4138134048 is a gapful number since it is divisible by the number (48) 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 4138134048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6054824160).

4138134048 is an abundant number, since it is smaller than the sum of its proper divisors (7971514272).

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

4138134048 is a wasteful number, since it uses less digits than its factorization.

4138134048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15927 (or 15913 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4138134048 is about 64328.3300576037. The cubic root of 4138134048 is about 1605.4674994164.

The spelling of 4138134048 in words is "four billion, one hundred thirty-eight million, one hundred thirty-four thousand, forty-eight".