4746080102400 has 5184 divisors, whose sum is σ = 24020756323200. Its totient is φ = 882895749120.

The previous prime is 4746080102399. The next prime is 4746080102441. The reversal of 4746080102400 is 42010806474.

4746080102400 is a `hidden beast` number, since 4 + 7 + 4 + 608 + 0 + 1 + 0 + 2 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 128272435182 + ... + 128272435218.

It is an arithmetic number, because the mean of its divisors is an integer number (4633633550).

Almost surely, 2^{4746080102400} is an apocalyptic number.

4746080102400 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 4746080102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12010378161600).

4746080102400 is an abundant number, since it is smaller than the sum of its proper divisors (19274676220800).

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

4746080102400 is a wasteful number, since it uses less digits than its factorization.

4746080102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Adding to 4746080102400 its reverse (42010806474), we get a palindrome (4788090908874).

The spelling of 4746080102400 in words is "four trillion, seven hundred forty-six billion, eighty million, one hundred two thousand, four hundred".