4804923752400 has 240 divisors, whose sum is σ = 15914275627520. Its totient is φ = 1237951641600.

The previous prime is 4804923752393. The next prime is 4804923752401. The reversal of 4804923752400 is 42573294084.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4804923752400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4804923752401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22698246 + ... + 22908954.

Almost surely, 2^{4804923752400} is an apocalyptic number.

4804923752400 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 4804923752400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7957137813760).

4804923752400 is an abundant number, since it is smaller than the sum of its proper divisors (11109351875120).

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

4804923752400 is a wasteful number, since it uses less digits than its factorization.

4804923752400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211374 (or 211363 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 4804923752400 in words is "four trillion, eight hundred four billion, nine hundred twenty-three million, seven hundred fifty-two thousand, four hundred".