4009070832 has 160 divisors (see below), whose sum is σ = 12431704320. Its totient is φ = 1099837440.

The previous prime is 4009070789. The next prime is 4009070861. The reversal of 4009070832 is 2380709004.

It is a junction number, because it is equal to n+sod(n) for n = 4009070793 and 4009070802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191607 + ... + 211497.

It is an arithmetic number, because the mean of its divisors is an integer number (77698152).

Almost surely, 2^4009070832 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 4009070832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6215852160).

4009070832 is an abundant number, since it is smaller than the sum of its proper divisors (8422633488).

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

4009070832 is a wasteful number, since it uses less digits than its factorization.

4009070832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19951 (or 19945 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 4009070832 is about 63317.2238178523. The cubic root of 4009070832 is about 1588.6000667742.

Adding to 4009070832 its reverse (2380709004), we get a palindrome (6389779836).

The spelling of 4009070832 in words is "four billion, nine million, seventy thousand, eight hundred thirty-two".