4641977305152 has 1344 divisors, whose sum is σ = 17075572899840. Its totient is φ = 1232950118400.

The previous prime is 4641977305099. The next prime is 4641977305177. The reversal of 4641977305152 is 2515037791464.

4641977305152 is a `hidden beast` number, since 4 + 6 + 4 + 1 + 97 + 7 + 30 + 515 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2317511383 + ... + 2317513385.

It is an arithmetic number, because the mean of its divisors is an integer number (12705039360).

Almost surely, 2^{4641977305152} 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 4641977305152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8537786449920).

4641977305152 is an abundant number, since it is smaller than the sum of its proper divisors (12433595594688).

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

4641977305152 is a wasteful number, since it uses less digits than its factorization.

4641977305152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114 (or 2092 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 4641977305152 in words is "four trillion, six hundred forty-one billion, nine hundred seventy-seven million, three hundred five thousand, one hundred fifty-two".