4132558725120 has 1120 divisors, whose sum is σ = 17100039610368. Its totient is φ = 935194263552.

The previous prime is 4132558725089. The next prime is 4132558725133. The reversal of 4132558725120 is 215278552314.

4132558725120 is a `hidden beast` number, since 4 + 1 + 3 + 2 + 55 + 87 + 2 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2485001409 + ... + 2485003071.

Almost surely, 2^{4132558725120} is an apocalyptic number.

4132558725120 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 4132558725120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8550019805184).

4132558725120 is an abundant number, since it is smaller than the sum of its proper divisors (12967480885248).

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

4132558725120 is a wasteful number, since it uses less digits than its factorization.

4132558725120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 4132558725120 in words is "four trillion, one hundred thirty-two billion, five hundred fifty-eight million, seven hundred twenty-five thousand, one hundred twenty".