4039104960 has 224 divisors, whose sum is σ = 15544800000. Its totient is φ = 979153920.

The previous prime is 4039104947. The next prime is 4039104961. The reversal of 4039104960 is 694019304.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4039104961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73791 + ... + 116289.

Almost surely, 2^4039104960 is an apocalyptic number.

4039104960 is a gapful number since it is divisible by the number (40) 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 4039104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7772400000).

4039104960 is an abundant number, since it is smaller than the sum of its proper divisors (11505695040).

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

4039104960 is a wasteful number, since it uses less digits than its factorization.

4039104960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42536 (or 42520 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 4039104960 is about 63553.9531421925. The cubic root of 4039104960 is about 1592.5572235245.

The spelling of 4039104960 in words is "four billion, thirty-nine million, one hundred four thousand, nine hundred sixty".