4138429272 has 64 divisors (see below), whose sum is σ = 10975500000. Its totient is φ = 1295861760.

The previous prime is 4138429241. The next prime is 4138429291. The reversal of 4138429272 is 2729248314.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211354 + ... + 230102.

Almost surely, 2^4138429272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4138429272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5487750000).

4138429272 is an abundant number, since it is smaller than the sum of its proper divisors (6837070728).

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

4138429272 is a wasteful number, since it uses less digits than its factorization.

4138429272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19316 (or 19312 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 4138429272 is about 64330.6246821838. The cubic root of 4138429272 is about 1605.5056777564.

The spelling of 4138429272 in words is "four billion, one hundred thirty-eight million, four hundred twenty-nine thousand, two hundred seventy-two".