4779481956480 has 3840 divisors, whose sum is σ = 23968321977600. Its totient is φ = 882895749120.

The previous prime is 4779481956451. The next prime is 4779481956569. The reversal of 4779481956480 is 846591849774.

4779481956480 is a `hidden beast` number, since 4 + 7 + 7 + 9 + 48 + 19 + 564 + 8 + 0 = 666.

It is a super-2 number, since 2×4779481956480² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 4779481956399 and 4779481956408.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 14182438872 + ... + 14182439208.

It is an arithmetic number, because the mean of its divisors is an integer number (6241750515).

Almost surely, 2^{4779481956480} is an apocalyptic number.

4779481956480 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 4779481956480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11984160988800).

4779481956480 is an abundant number, since it is smaller than the sum of its proper divisors (19188840021120).

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

4779481956480 is a wasteful number, since it uses less digits than its factorization.

4779481956480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 4779481956480 in words is "four trillion, seven hundred seventy-nine billion, four hundred eighty-one million, nine hundred fifty-six thousand, four hundred eighty".