4038802560 has 480 divisors, whose sum is σ = 15652000980. Its totient is φ = 992010240.

The previous prime is 4038802541. The next prime is 4038802561. The reversal of 4038802560 is 652088304.

It can be written as a sum of positive squares in 6 ways, for example, as 213627456 + 3825175104 = 14616^2 + 61848^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×4038802560² = 32623852237325107200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4038802561) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8760730 + ... + 8761190.

Almost surely, 2^4038802560 is an apocalyptic number.

4038802560 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 4038802560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7826000490).

4038802560 is an abundant number, since it is smaller than the sum of its proper divisors (11613198420).

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

4038802560 is a wasteful number, since it uses less digits than its factorization.

4038802560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4038802560 is about 63551.5740166992. The cubic root of 4038802560 is about 1592.5174786364.

The spelling of 4038802560 in words is "four billion, thirty-eight million, eight hundred two thousand, five hundred sixty".