4042132413040 has 80 divisors (see below), whose sum is σ = 9629851775040. Its totient is φ = 1576979159040.

The previous prime is 4042132413037. The next prime is 4042132413071. The reversal of 4042132413040 is 403142312404.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11759941 + ... + 12098779.

It is an arithmetic number, because the mean of its divisors is an integer number (120373147188).

Almost surely, 2^{4042132413040} is an apocalyptic number.

4042132413040 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 4042132413040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4814925887520).

4042132413040 is an abundant number, since it is smaller than the sum of its proper divisors (5587719362000).

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

4042132413040 is a wasteful number, since it uses less digits than its factorization.

4042132413040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342530 (or 342524 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 4042132413040 its reverse (403142312404), we get a palindrome (4445274725444).

The spelling of 4042132413040 in words is "four trillion, forty-two billion, one hundred thirty-two million, four hundred thirteen thousand, forty".