4136974272 has 336 divisors, whose sum is σ = 13075920000. Its totient is φ = 1245984768.

The previous prime is 4136974249. The next prime is 4136974279. The reversal of 4136974272 is 2724796314.

4136974272 is a `hidden beast` number, since 4 + 136 + 97 + 427 + 2 = 666.

It is a super-2 number, since 2×4136974272² = 34229112254379859968, which contains 22 as substring.

Its product of digits (508032) is a multiple of the sum of its prime factors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4136974279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27764854 + ... + 27765002.

Almost surely, 2^4136974272 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 4136974272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6537960000).

4136974272 is an abundant number, since it is smaller than the sum of its proper divisors (8938945728).

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

4136974272 is a wasteful number, since it uses less digits than its factorization.

4136974272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 275 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 4136974272 is about 64319.3149217247. The cubic root of 4136974272 is about 1605.3174997120.

The spelling of 4136974272 in words is "four billion, one hundred thirty-six million, nine hundred seventy-four thousand, two hundred seventy-two".