4042130561040 has 640 divisors, whose sum is σ = 15157058886144. Its totient is φ = 877879296000.

The previous prime is 4042130561009. The next prime is 4042130561087. The reversal of 4042130561040 is 401650312404.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4042130560989 and 4042130561007.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 534598860 + ... + 534606420.

Almost surely, 2^{4042130561040} is an apocalyptic number.

4042130561040 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 4042130561040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7578529443072).

4042130561040 is an abundant number, since it is smaller than the sum of its proper divisors (11114928325104).

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

4042130561040 is a wasteful number, since it uses less digits than its factorization.

4042130561040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8059 (or 8053 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 4042130561040 its reverse (401650312404), we get a palindrome (4443780873444).

The spelling of 4042130561040 in words is "four trillion, forty-two billion, one hundred thirty million, five hundred sixty-one thousand, forty".