35065730006040 has 512 divisors, whose sum is σ = 115688964096000. Its totient is φ = 8469386956800.

The previous prime is 35065730006039. The next prime is 35065730006143. The reversal of 35065730006040 is 4060003756053.

It is a self number, because there is not a number n which added to its sum of digits gives 35065730006040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13128313905 + ... + 13128316575.

It is an arithmetic number, because the mean of its divisors is an integer number (225955008000).

Almost surely, 2^{35065730006040} is an apocalyptic number.

35065730006040 is a gapful number since it is divisible by the number (30) 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 35065730006040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57844482048000).

35065730006040 is an abundant number, since it is smaller than the sum of its proper divisors (80623234089960).

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

35065730006040 is a wasteful number, since it uses less digits than its factorization.

35065730006040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4911 (or 4907 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 39.

The spelling of 35065730006040 in words is "thirty-five trillion, sixty-five billion, seven hundred thirty million, six thousand, forty".