4135885713300 has 288 divisors, whose sum is σ = 14159398990464. Its totient is φ = 920643584000.

The previous prime is 4135885713263. The next prime is 4135885713319. The reversal of 4135885713300 is 33175885314.

It is a self number, because there is not a number n which added to its sum of digits gives 4135885713300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1401034 + ... + 3199166.

It is an arithmetic number, because the mean of its divisors is an integer number (49164579828).

Almost surely, 2^{4135885713300} 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 4135885713300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7079699495232).

4135885713300 is an abundant number, since it is smaller than the sum of its proper divisors (10023513277164).

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

4135885713300 is a wasteful number, since it uses less digits than its factorization.

4135885713300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1798219 (or 1798212 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 4135885713300 in words is "four trillion, one hundred thirty-five billion, eight hundred eighty-five million, seven hundred thirteen thousand, three hundred".