4256723526000 has 320 divisors, whose sum is σ = 15009860736000. Its totient is φ = 1029273984000.

The previous prime is 4256723525983. The next prime is 4256723526059. The reversal of 4256723526000 is 6253276524.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25591101 + ... + 25756899.

It is an arithmetic number, because the mean of its divisors is an integer number (46905814800).

Almost surely, 2^{4256723526000} is an apocalyptic number.

4256723526000 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 4256723526000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7504930368000).

4256723526000 is an abundant number, since it is smaller than the sum of its proper divisors (10753137210000).

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

4256723526000 is a wasteful number, since it uses less digits than its factorization.

4256723526000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166225 (or 166209 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

The spelling of 4256723526000 in words is "four trillion, two hundred fifty-six billion, seven hundred twenty-three million, five hundred twenty-six thousand".