4774397313024 has 448 divisors, whose sum is σ = 14388985184400. Its totient is φ = 1583415558144.

The previous prime is 4774397313001. The next prime is 4774397313041. The reversal of 4774397313024 is 4203137934774.

4774397313024 is a `hidden beast` number, since 4 + 7 + 7 + 439 + 73 + 130 + 2 + 4 = 666.

It is a super-2 number, since 2×4774397313024² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 6425837197 + ... + 6425837939.

Almost surely, 2^{4774397313024} 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 4774397313024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7194492592200).

4774397313024 is an abundant number, since it is smaller than the sum of its proper divisors (9614587871376).

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

4774397313024 is an frugal number, since it uses more digits than its factorization.

4774397313024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 54.

The spelling of 4774397313024 in words is "four trillion, seven hundred seventy-four billion, three hundred ninety-seven million, three hundred thirteen thousand, twenty-four".