4130135504000 has 256 divisors, whose sum is σ = 11290320138240. Its totient is φ = 1490033664000.

The previous prime is 4130135503999. The next prime is 4130135504051. The reversal of 4130135504000 is 4055310314.

It is a super-3 number, since 3×4130135504000³ (a number of 39 digits) contains 333 as substring.

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, 22259612 + ... + 22444388.

It is an arithmetic number, because the mean of its divisors is an integer number (44102813040).

Almost surely, 2^{4130135504000} is an apocalyptic number.

4130135504000 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 4130135504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5645160069120).

4130135504000 is an abundant number, since it is smaller than the sum of its proper divisors (7160184634240).

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

4130135504000 is a wasteful number, since it uses less digits than its factorization.

4130135504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184944 (or 184922 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The spelling of 4130135504000 in words is "four trillion, one hundred thirty billion, one hundred thirty-five million, five hundred four thousand".