4735888430940 has 192 divisors, whose sum is σ = 15194892155520. Its totient is φ = 1223671173120.

The previous prime is 4735888430909. The next prime is 4735888430963. The reversal of 4735888430940 is 490348885374.

4735888430940 is a `hidden beast` number, since 4 + 7 + 3 + 588 + 8 + 4 + 3 + 0 + 9 + 40 = 666.

It is a super-2 number, since 2×4735888430940² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4323414 + ... + 5306946.

It is an arithmetic number, because the mean of its divisors is an integer number (79140063310).

Almost surely, 2^{4735888430940} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4735888430940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7597446077760).

4735888430940 is an abundant number, since it is smaller than the sum of its proper divisors (10459003724580).

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

4735888430940 is a wasteful number, since it uses less digits than its factorization.

4735888430940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983829 (or 983821 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 4735888430940 in words is "four trillion, seven hundred thirty-five billion, eight hundred eighty-eight million, four hundred thirty thousand, nine hundred forty".