4879551378240 has 1120 divisors, whose sum is σ = 21668207616000. Its totient is φ = 1012631777280.

The previous prime is 4879551378199. The next prime is 4879551378241. The reversal of 4879551378240 is 428731559784.

4879551378240 is a `hidden beast` number, since 4 + 8 + 7 + 9 + 5 + 513 + 78 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4879551378241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2872012911 + ... + 2872014609.

Almost surely, 2^{4879551378240} is an apocalyptic number.

4879551378240 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 4879551378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10834103808000).

4879551378240 is an abundant number, since it is smaller than the sum of its proper divisors (16788656237760).

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

4879551378240 is a wasteful number, since it uses less digits than its factorization.

4879551378240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3185 (or 3166 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 4879551378240 in words is "four trillion, eight hundred seventy-nine billion, five hundred fifty-one million, three hundred seventy-eight thousand, two hundred forty".