4794145574400 has 4800 divisors, whose sum is σ = 23981421340800. Its totient is φ = 936404582400.

The previous prime is 4794145574381. The next prime is 4794145574437. The reversal of 4794145574400 is 44755414974.

It is a happy number.

4794145574400 is a `hidden beast` number, since 4 + 7 + 9 + 4 + 145 + 57 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4800).

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 polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 78592550370 + ... + 78592550430.

It is an arithmetic number, because the mean of its divisors is an integer number (4996129446).

Almost surely, 2^{4794145574400} is an apocalyptic number.

4794145574400 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 4794145574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11990710670400).

4794145574400 is an abundant number, since it is smaller than the sum of its proper divisors (19187275766400).

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

4794145574400 is a wasteful number, since it uses less digits than its factorization.

4794145574400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 4794145574400 in words is "four trillion, seven hundred ninety-four billion, one hundred forty-five million, five hundred seventy-four thousand, four hundred".