4235051260800 has 1536 divisors, whose sum is σ = 17051851468800. Its totient is φ = 1021870080000.

The previous prime is 4235051260777. The next prime is 4235051260873. The reversal of 4235051260800 is 80621505324.

4235051260800 is a `hidden beast` number, since 4 + 2 + 3 + 5 + 0 + 512 + 60 + 80 + 0 = 666.

4235051260800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 12794716635 + ... + 12794716965.

It is an arithmetic number, because the mean of its divisors is an integer number (11101465800).

Almost surely, 2^{4235051260800} is an apocalyptic number.

4235051260800 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 4235051260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8525925734400).

4235051260800 is an abundant number, since it is smaller than the sum of its proper divisors (12816800208000).

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

4235051260800 is a wasteful number, since it uses less digits than its factorization.

4235051260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 4235051260800 in words is "four trillion, two hundred thirty-five billion, fifty-one million, two hundred sixty thousand, eight hundred".