4138467264 has 168 divisors, whose sum is σ = 12478707072. Its totient is φ = 1309501440.

The previous prime is 4138467259. The next prime is 4138467269. The reversal of 4138467264 is 4627648314.

4138467264 is a `hidden beast` number, since 4 + 1 + 384 + 6 + 7 + 264 = 666.

It is an interprime number because it is at equal distance from previous prime (4138467259) and next prime (4138467269).

It is a super-2 number, since 2×4138467264² = 34253822590399291392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4138467269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 944182 + ... + 948554.

Almost surely, 2^4138467264 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 4138467264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6239353536).

4138467264 is an abundant number, since it is smaller than the sum of its proper divisors (8340239808).

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

4138467264 is a wasteful number, since it uses less digits than its factorization.

4138467264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4475 (or 4462 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 4138467264 is about 64330.9199685501. The cubic root of 4138467264 is about 1605.5105907464.

The spelling of 4138467264 in words is "four billion, one hundred thirty-eight million, four hundred sixty-seven thousand, two hundred sixty-four".