4007447136 has 672 divisors, whose sum is σ = 15547811328. Its totient is φ = 985374720.

The previous prime is 4007447123. The next prime is 4007447161. The reversal of 4007447136 is 6317447004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 4007447136.

It is a congruent number.

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 41313840 + ... + 41313936.

It is an arithmetic number, because the mean of its divisors is an integer number (23136624).

Almost surely, 2^4007447136 is an apocalyptic number.

4007447136 is a gapful number since it is divisible by the number (46) 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 4007447136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7773905664).

4007447136 is an abundant number, since it is smaller than the sum of its proper divisors (11540364192).

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

4007447136 is a wasteful number, since it uses less digits than its factorization.

4007447136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 4007447136 is about 63304.4006053292. The cubic root of 4007447136 is about 1588.3855738584.

The spelling of 4007447136 in words is "four billion, seven million, four hundred forty-seven thousand, one hundred thirty-six".