4034725126848 has 336 divisors, whose sum is σ = 12597325636896. Its totient is φ = 1227265966080.

The previous prime is 4034725126811. The next prime is 4034725126853. The reversal of 4034725126848 is 8486215274304.

4034725126848 is a `hidden beast` number, since 4 + 0 + 3 + 47 + 2 + 512 + 6 + 84 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4034725126794 and 4034725126803.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 335913163 + ... + 335925173.

It is an arithmetic number, because the mean of its divisors is an integer number (37492040586).

Almost surely, 2^{4034725126848} is an apocalyptic number.

4034725126848 is a gapful number since it is divisible by the number (48) 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 4034725126848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6298662818448).

4034725126848 is an abundant number, since it is smaller than the sum of its proper divisors (8562600510048).

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

4034725126848 is a wasteful number, since it uses less digits than its factorization.

4034725126848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12552 (or 12539 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 4034725126848 in words is "four trillion, thirty-four billion, seven hundred twenty-five million, one hundred twenty-six thousand, eight hundred forty-eight".