4042105141152 has 384 divisors, whose sum is σ = 12729048611328. Its totient is φ = 1111139942400.

The previous prime is 4042105141133. The next prime is 4042105141157. The reversal of 4042105141152 is 2511415012404.

4042105141152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4042105141152² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4042105141157) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32121877 + ... + 32247467.

It is an arithmetic number, because the mean of its divisors is an integer number (33148564092).

Almost surely, 2^{4042105141152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4042105141152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6364524305664).

4042105141152 is an abundant number, since it is smaller than the sum of its proper divisors (8686943470176).

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

4042105141152 is a wasteful number, since it uses less digits than its factorization.

4042105141152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125712 (or 125704 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The spelling of 4042105141152 in words is "four trillion, forty-two billion, one hundred five million, one hundred forty-one thousand, one hundred fifty-two".