4874581101600 has 2880 divisors, whose sum is σ = 22465176636672. Its totient is φ = 1003290624000.

The previous prime is 4874581101571. The next prime is 4874581101647. The reversal of 4874581101600 is 61011854784.

4874581101600 is a `hidden beast` number, since 4 + 8 + 7 + 4 + 581 + 1 + 0 + 1 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 20226477480 + ... + 20226477720.

Almost surely, 2^{4874581101600} is an apocalyptic number.

4874581101600 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 4874581101600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11232588318336).

4874581101600 is an abundant number, since it is smaller than the sum of its proper divisors (17590595535072).

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

4874581101600 is a wasteful number, since it uses less digits than its factorization.

4874581101600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 4874581101600 in words is "four trillion, eight hundred seventy-four billion, five hundred eighty-one million, one hundred one thousand, six hundred".