4047540480 has 216 divisors, whose sum is σ = 14198854488. Its totient is φ = 1064337408.

The previous prime is 4047540463. The next prime is 4047540481. The reversal of 4047540480 is 840457404.

It can be written as a sum of positive squares in 4 ways, for example, as 882802944 + 3164737536 = 29712^2 + 56256^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (4047540481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 838554 + ... + 843366.

Almost surely, 2^4047540480 is an apocalyptic number.

4047540480 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 4047540480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7099427244).

4047540480 is an abundant number, since it is smaller than the sum of its proper divisors (10151314008).

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

4047540480 is a wasteful number, since it uses less digits than its factorization.

4047540480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4913 (or 4896 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 4047540480 is about 63620.2835579974. The cubic root of 4047540480 is about 1593.6651180630.

Adding to 4047540480 its reverse (840457404), we get a palindrome (4887997884).

The spelling of 4047540480 in words is "four billion, forty-seven million, five hundred forty thousand, four hundred eighty".