4248992482560 has 432 divisors, whose sum is σ = 16823545240320. Its totient is φ = 969908060160.

The previous prime is 4248992482543. The next prime is 4248992482649. The reversal of 4248992482560 is 652842998424.

4248992482560 is a `hidden beast` number, since 4 + 2 + 4 + 8 + 9 + 92 + 482 + 5 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61332421 + ... + 61401659.

It is an arithmetic number, because the mean of its divisors is an integer number (38943391760).

Almost surely, 2^{4248992482560} is an apocalyptic number.

4248992482560 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 4248992482560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8411772620160).

4248992482560 is an abundant number, since it is smaller than the sum of its proper divisors (12574552757760).

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

4248992482560 is a wasteful number, since it uses less digits than its factorization.

4248992482560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70034 (or 70017 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 4248992482560 in words is "four trillion, two hundred forty-eight billion, nine hundred ninety-two million, four hundred eighty-two thousand, five hundred sixty".