4589798774400 has 2304 divisors, whose sum is σ = 20738970120960. Its totient is φ = 978447237120.

The previous prime is 4589798774371. The next prime is 4589798774441. The reversal of 4589798774400 is 44778979854.

4589798774400 is a `hidden beast` number, since 4 + 5 + 8 + 9 + 79 + 87 + 74 + 400 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 17859139072 + ... + 17859139328.

It is an arithmetic number, because the mean of its divisors is an integer number (9001289115).

Almost surely, 2^{4589798774400} is an apocalyptic number.

4589798774400 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 4589798774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10369485060480).

4589798774400 is an abundant number, since it is smaller than the sum of its proper divisors (16149171346560).

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

4589798774400 is a wasteful number, since it uses less digits than its factorization.

4589798774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 568995840, while the sum is 72.

The spelling of 4589798774400 in words is "four trillion, five hundred eighty-nine billion, seven hundred ninety-eight million, seven hundred seventy-four thousand, four hundred".