4036480000 has 440 divisors, whose sum is σ = 12431545632. Its totient is φ = 1277952000.

The previous prime is 4036479959. The next prime is 4036480009. The reversal of 4036480000 is 846304.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (4036480009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 76159974 + ... + 76160026.

Almost surely, 2^4036480000 is an apocalyptic number.

4036480000 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 4036480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6215772816).

4036480000 is an abundant number, since it is smaller than the sum of its proper divisors (8395065632).

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

4036480000 is an equidigital number, since it uses as much as digits as its factorization.

4036480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 4036480000 is about 63533.2983560589. The cubic root of 4036480000 is about 1592.2121549203.

The spelling of 4036480000 in words is "four billion, thirty-six million, four hundred eighty thousand".