35134002055404 has 288 divisors, whose sum is σ = 107104694860800. Its totient is φ = 9486440686080.

The previous prime is 35134002055387. The next prime is 35134002055459. The reversal of 35134002055404 is 40455020043153.

35134002055404 is a `hidden beast` number, since 3 + 5 + 1 + 3 + 40 + 0 + 205 + 5 + 404 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4963127137 + ... + 4963134215.

It is an arithmetic number, because the mean of its divisors is an integer number (371891301600).

Almost surely, 2^{35134002055404} 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 35134002055404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53552347430400).

35134002055404 is an abundant number, since it is smaller than the sum of its proper divisors (71970692805396).

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

35134002055404 is a wasteful number, since it uses less digits than its factorization.

35134002055404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9533 (or 9528 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 35134002055404 its reverse (40455020043153), we get a palindrome (75589022098557).

The spelling of 35134002055404 in words is "thirty-five trillion, one hundred thirty-four billion, two million, fifty-five thousand, four hundred four".