4235748726000 has 320 divisors, whose sum is σ = 15029376201216. Its totient is φ = 1017759232000.

The previous prime is 4235748725977. The next prime is 4235748726067. The reversal of 4235748726000 is 6278475324.

4235748726000 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 (48).

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, 7174027 + ... + 7741973.

Almost surely, 2^{4235748726000} is an apocalyptic number.

4235748726000 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 4235748726000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7514688100608).

4235748726000 is an abundant number, since it is smaller than the sum of its proper divisors (10793627475216).

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

4235748726000 is a wasteful number, since it uses less digits than its factorization.

4235748726000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568097 (or 568081 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 48.

The spelling of 4235748726000 in words is "four trillion, two hundred thirty-five billion, seven hundred forty-eight million, seven hundred twenty-six thousand".