35135340021040 has 960 divisors, whose sum is σ = 106596698803200. Its totient is φ = 10483958808576.

The previous prime is 35135340020999. The next prime is 35135340021077. The reversal of 35135340021040 is 4012004353153.

It is a junction number, because it is equal to n+sod(n) for n = 35135340020993 and 35135340021011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 196286815671 + ... + 196286815849.

It is an arithmetic number, because the mean of its divisors is an integer number (111038227920).

Almost surely, 2^{35135340021040} 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 35135340021040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53298349401600).

35135340021040 is an abundant number, since it is smaller than the sum of its proper divisors (71461358782160).

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

35135340021040 is a wasteful number, since it uses less digits than its factorization.

35135340021040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

Adding to 35135340021040 its reverse (4012004353153), we get a palindrome (39147344374193).

The spelling of 35135340021040 in words is "thirty-five trillion, one hundred thirty-five billion, three hundred forty million, twenty-one thousand, forty".