4042122041040 has 80 divisors (see below), whose sum is σ = 12532129249536. Its totient is φ = 1077765798400.

The previous prime is 4042122040963. The next prime is 4042122041047. The reversal of 4042122041040 is 401402212404.

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

It is a super-3 number, since 3×4042122041040³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4042122041040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042122041047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 908410 + ... + 2984870.

Almost surely, 2^{4042122041040} is an apocalyptic number.

4042122041040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4042122041040 is an abundant number, since it is smaller than the sum of its proper divisors (8490007208496).

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

4042122041040 is a wasteful number, since it uses less digits than its factorization.

4042122041040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084588 (or 2084582 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 4042122041040 its reverse (401402212404), we get a palindrome (4443524253444).

The spelling of 4042122041040 in words is "four trillion, forty-two billion, one hundred twenty-two million, forty-one thousand, forty".