4125887354880 has 576 divisors, whose sum is σ = 14808849269760. Its totient is φ = 1061285068800.

The previous prime is 4125887354821. The next prime is 4125887354903. The reversal of 4125887354880 is 884537885214.

4125887354880 is a `hidden beast` number, since 4 + 1 + 2 + 5 + 8 + 8 + 7 + 3 + 548 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 945651579 + ... + 945655941.

It is an arithmetic number, because the mean of its divisors is an integer number (25709807760).

Almost surely, 2^{4125887354880} is an apocalyptic number.

4125887354880 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 4125887354880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7404424634880).

4125887354880 is an abundant number, since it is smaller than the sum of its proper divisors (10682961914880).

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

4125887354880 is a wasteful number, since it uses less digits than its factorization.

4125887354880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4758 (or 4735 counting only the distinct ones).

The product of its (nonzero) digits is 68812800, while the sum is 63.

The spelling of 4125887354880 in words is "four trillion, one hundred twenty-five billion, eight hundred eighty-seven million, three hundred fifty-four thousand, eight hundred eighty".