4404281434704 has 240 divisors, whose sum is σ = 13347040591872. Its totient is φ = 1350465933312.

The previous prime is 4404281434639. The next prime is 4404281434711. The reversal of 4404281434704 is 4074341824044.

4404281434704 is a `hidden beast` number, since 4 + 40 + 428 + 143 + 47 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4404281434704.

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, 84309937 + ... + 84362159.

Almost surely, 2^{4404281434704} 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 4404281434704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6673520295936).

4404281434704 is an abundant number, since it is smaller than the sum of its proper divisors (8942759157168).

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

4404281434704 is a wasteful number, since it uses less digits than its factorization.

4404281434704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53034 (or 53025 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 45.

The spelling of 4404281434704 in words is "four trillion, four hundred four billion, two hundred eighty-one million, four hundred thirty-four thousand, seven hundred four".