4334135455104 has 256 divisors, whose sum is σ = 14228110364160. Its totient is φ = 1138323456000.

The previous prime is 4334135455081. The next prime is 4334135455187. The reversal of 4334135455104 is 4015545314334.

4334135455104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8164179 + ... + 8678829.

It is an arithmetic number, because the mean of its divisors is an integer number (55578556110).

Almost surely, 2^{4334135455104} 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 4334135455104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7114055182080).

4334135455104 is an abundant number, since it is smaller than the sum of its proper divisors (9893974909056).

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

4334135455104 is a wasteful number, since it uses less digits than its factorization.

4334135455104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514929 (or 514917 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

The spelling of 4334135455104 in words is "four trillion, three hundred thirty-four billion, one hundred thirty-five million, four hundred fifty-five thousand, one hundred four".