4735285401600 has 1152 divisors, whose sum is σ = 18968589057600. Its totient is φ = 1165250396160.

The previous prime is 4735285401593. The next prime is 4735285401611. The reversal of 4735285401600 is 61045825374.

4735285401600 is a `hidden beast` number, since 4 + 7 + 35 + 2 + 8 + 5 + 4 + 0 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1455665574 + ... + 1455668826.

Almost surely, 2^{4735285401600} is an apocalyptic number.

4735285401600 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 4735285401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9484294528800).

4735285401600 is an abundant number, since it is smaller than the sum of its proper divisors (14233303656000).

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

4735285401600 is an equidigital number, since it uses as much as digits as its factorization.

4735285401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3319 (or 3276 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 4735285401600 in words is "four trillion, seven hundred thirty-five billion, two hundred eighty-five million, four hundred one thousand, six hundred".