4120260524352 has 168 divisors, whose sum is σ = 13537904457792. Its totient is φ = 1173660364800.

The previous prime is 4120260524351. The next prime is 4120260524399. The reversal of 4120260524352 is 2534250620214.

4120260524352 is a `hidden beast` number, since 4 + 1 + 2 + 0 + 2 + 605 + 2 + 43 + 5 + 2 = 666.

4120260524352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4120260524351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209049 + ... + 2878232.

Almost surely, 2^{4120260524352} is an apocalyptic number.

4120260524352 is a gapful number since it is divisible by the number (42) 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 4120260524352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6768952228896).

4120260524352 is an abundant number, since it is smaller than the sum of its proper divisors (9417643933440).

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

4120260524352 is a wasteful number, since it uses less digits than its factorization.

4120260524352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3087637 (or 3087624 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 4120260524352 in words is "four trillion, one hundred twenty billion, two hundred sixty million, five hundred twenty-four thousand, three hundred fifty-two".