35105040000 has 240 divisors, whose sum is σ = 126235193370. Its totient is φ = 9361152000.

The previous prime is 35105039989. The next prime is 35105040041. The reversal of 35105040000 is 4050153.

It can be written as a sum of positive squares in 5 ways, for example, as 159971904 + 34945068096 = 12648^2 + 186936^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 29 ways as a sum of consecutive naturals, for example, 695622 + ... + 744378.

Almost surely, 2^35105040000 is an apocalyptic number.

35105040000 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 35105040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63117596685).

35105040000 is an abundant number, since it is smaller than the sum of its proper divisors (91130153370).

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

35105040000 is an equidigital number, since it uses as much as digits as its factorization.

35105040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48797 (or 48767 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

Adding to 35105040000 its reverse (4050153), we get a palindrome (35109090153).

The spelling of 35105040000 in words is "thirty-five billion, one hundred five million, forty thousand".