35134121440 has 144 divisors (see below), whose sum is σ = 91718679024. Its totient is φ = 12708495360.

The previous prime is 35134121381. The next prime is 35134121461. The reversal of 35134121440 is 4412143153.

It is a junction number, because it is equal to n+sod(n) for n = 35134121399 and 35134121408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3731779 + ... + 3741181.

It is an arithmetic number, because the mean of its divisors is an integer number (636935271).

Almost surely, 2^35134121440 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 35134121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45859339512).

35134121440 is an abundant number, since it is smaller than the sum of its proper divisors (56584557584).

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

35134121440 is a wasteful number, since it uses less digits than its factorization.

35134121440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9633 (or 9614 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 35134121440 its reverse (4412143153), we get a palindrome (39546264593).

The spelling of 35134121440 in words is "thirty-five billion, one hundred thirty-four million, one hundred twenty-one thousand, four hundred forty".