4977457821336 has 288 divisors, whose sum is σ = 17099346369600. Its totient is φ = 1193395956480.

The previous prime is 4977457821241. The next prime is 4977457821361. The reversal of 4977457821336 is 6331287547794.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1047795 + ... + 3324573.

It is an arithmetic number, because the mean of its divisors is an integer number (59372730450).

Almost surely, 2^{4977457821336} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4977457821336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8549673184800).

4977457821336 is an abundant number, since it is smaller than the sum of its proper divisors (12121888548264).

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

4977457821336 is a wasteful number, since it uses less digits than its factorization.

4977457821336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276839 (or 2276815 counting only the distinct ones).

The product of its digits is 213373440, while the sum is 66.

The spelling of 4977457821336 in words is "four trillion, nine hundred seventy-seven billion, four hundred fifty-seven million, eight hundred twenty-one thousand, three hundred thirty-six".