4081239746928 has 640 divisors, whose sum is σ = 12455412802560. Its totient is φ = 1294097098752.

The previous prime is 4081239746921. The next prime is 4081239746939. The reversal of 4081239746928 is 8296479321804.

4081239746928 is a `hidden beast` number, since 4 + 0 + 81 + 2 + 3 + 97 + 469 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4081239746921) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17516050300 + ... + 17516050532.

It is an arithmetic number, because the mean of its divisors is an integer number (19461582504).

Almost surely, 2^{4081239746928} is an apocalyptic number.

4081239746928 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 4081239746928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6227706401280).

4081239746928 is an abundant number, since it is smaller than the sum of its proper divisors (8374173055632).

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

4081239746928 is a wasteful number, since it uses less digits than its factorization.

4081239746928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 4081239746928 in words is "four trillion, eighty-one billion, two hundred thirty-nine million, seven hundred forty-six thousand, nine hundred twenty-eight".