4042684554048 has 336 divisors, whose sum is σ = 13612118307840. Its totient is φ = 1122909806592.

The previous prime is 4042684553981. The next prime is 4042684554101. The reversal of 4042684554048 is 8404554862404.

4042684554048 is a `hidden beast` number, since 4 + 0 + 4 + 2 + 6 + 84 + 554 + 0 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 4042684553985 and 4042684554003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192287665 + ... + 192308687.

Almost surely, 2^{4042684554048} is an apocalyptic number.

4042684554048 is a gapful number since it is divisible by the number (48) 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 4042684554048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6806059153920).

4042684554048 is an abundant number, since it is smaller than the sum of its proper divisors (9569433753792).

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

4042684554048 is a wasteful number, since it uses less digits than its factorization.

4042684554048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22374 (or 22361 counting only the distinct ones).

The product of its (nonzero) digits is 19660800, while the sum is 54.

The spelling of 4042684554048 in words is "four trillion, forty-two billion, six hundred eighty-four million, five hundred fifty-four thousand, forty-eight".