4815504570240 has 3072 divisors, whose sum is σ = 23503737600000. Its totient is φ = 904108179456.

The previous prime is 4815504570203. The next prime is 4815504570269. The reversal of 4815504570240 is 420754055184.

4815504570240 is a `hidden beast` number, since 4 + 8 + 1 + 5 + 50 + 4 + 570 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 383 ways as a sum of consecutive naturals, for example, 9650309511 + ... + 9650310009.

It is an arithmetic number, because the mean of its divisors is an integer number (7650956250).

Almost surely, 2^{4815504570240} is an apocalyptic number.

4815504570240 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 4815504570240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11751868800000).

4815504570240 is an abundant number, since it is smaller than the sum of its proper divisors (18688233029760).

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

4815504570240 is a wasteful number, since it uses less digits than its factorization.

4815504570240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 896000, while the sum is 45.

The spelling of 4815504570240 in words is "four trillion, eight hundred fifteen billion, five hundred four million, five hundred seventy thousand, two hundred forty".