4042510053120 has 1008 divisors, whose sum is σ = 18100649129472. Its totient is φ = 839987159040.

The previous prime is 4042510053103. The next prime is 4042510053151. The reversal of 4042510053120 is 213500152404.

4042510053120 is a `hidden beast` number, since 4 + 0 + 4 + 2 + 5 + 100 + 531 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 111 ways as a sum of consecutive naturals, for example, 71822109 + ... + 71878371.

It is an arithmetic number, because the mean of its divisors is an integer number (17956993184).

Almost surely, 2^{4042510053120} is an apocalyptic number.

4042510053120 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 4042510053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9050324564736).

4042510053120 is an abundant number, since it is smaller than the sum of its proper divisors (14058139076352).

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

4042510053120 is an equidigital number, since it uses as much as digits as its factorization.

4042510053120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56320 (or 56291 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 4042510053120 in words is "four trillion, forty-two billion, five hundred ten million, fifty-three thousand, one hundred twenty".