4004337739104 has 288 divisors, whose sum is σ = 12008342900736. Its totient is φ = 1312334369280.

The previous prime is 4004337739049. The next prime is 4004337739121. The reversal of 4004337739104 is 4019377334004.

4004337739104 is a `hidden beast` number, since 40 + 0 + 433 + 7 + 73 + 9 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 4004337739104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 281849569 + ... + 281863775.

It is an arithmetic number, because the mean of its divisors is an integer number (41695635072).

Almost surely, 2^{4004337739104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4004337739104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6004171450368).

4004337739104 is an abundant number, since it is smaller than the sum of its proper divisors (8004005161632).

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

4004337739104 is a wasteful number, since it uses less digits than its factorization.

4004337739104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14840 (or 14820 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 4004337739104 in words is "four trillion, four billion, three hundred thirty-seven million, seven hundred thirty-nine thousand, one hundred four".