4134345535320 has 1152 divisors, whose sum is σ = 17173075550400. Its totient is φ = 788628234240.

The previous prime is 4134345535259. The next prime is 4134345535367. The reversal of 4134345535320 is 235355434314.

4134345535320 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 287 ways as a sum of consecutive naturals, for example, 1822099146 + ... + 1822101414.

Almost surely, 2^{4134345535320} is an apocalyptic number.

4134345535320 is a gapful number since it is divisible by the number (40) 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 4134345535320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8586537775200).

4134345535320 is an abundant number, since it is smaller than the sum of its proper divisors (13038730015080).

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

4134345535320 is a wasteful number, since it uses less digits than its factorization.

4134345535320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2529 (or 2507 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 42.

The spelling of 4134345535320 in words is "four trillion, one hundred thirty-four billion, three hundred forty-five million, five hundred thirty-five thousand, three hundred twenty".