4735852352000 has 1920 divisors, whose sum is σ = 16096030359552. Its totient is φ = 1371009024000.

The previous prime is 4735852351999. The next prime is 4735852352017. The reversal of 4735852352000 is 2532585374.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37290175937 + ... + 37290176063.

Almost surely, 2^{4735852352000} is an apocalyptic number.

4735852352000 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 4735852352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8048015179776).

4735852352000 is an abundant number, since it is smaller than the sum of its proper divisors (11360178007552).

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

4735852352000 is a wasteful number, since it uses less digits than its factorization.

4735852352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 44.

The spelling of 4735852352000 in words is "four trillion, seven hundred thirty-five billion, eight hundred fifty-two million, three hundred fifty-two thousand".