4040648832 has 384 divisors, whose sum is σ = 13023360000. Its totient is φ = 1103984640.

The previous prime is 4040648789. The next prime is 4040648849. The reversal of 4040648832 is 2388460404.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20304669 + ... + 20304867.

It is an arithmetic number, because the mean of its divisors is an integer number (33915000).

Almost surely, 2^4040648832 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 4040648832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6511680000).

4040648832 is an abundant number, since it is smaller than the sum of its proper divisors (8982711168).

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

4040648832 is a wasteful number, since it uses less digits than its factorization.

4040648832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The square root of 4040648832 is about 63566.0981341469. The cubic root of 4040648832 is about 1592.7601060386.

The spelling of 4040648832 in words is "four billion, forty million, six hundred forty-eight thousand, eight hundred thirty-two".