35135145434040 has 256 divisors, whose sum is σ = 107384787072000. Its totient is φ = 9194020577280.

The previous prime is 35135145434023. The next prime is 35135145434083. The reversal of 35135145434040 is 4043454153153.

It is a super-2 number, since 2×35135145434040² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 35135145433983 and 35135145434001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15484858026 + ... + 15484860294.

It is an arithmetic number, because the mean of its divisors is an integer number (419471824500).

Almost surely, 2^{35135145434040} is an apocalyptic number.

35135145434040 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 35135145434040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53692393536000).

35135145434040 is an abundant number, since it is smaller than the sum of its proper divisors (72249641637960).

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

35135145434040 is a wasteful number, since it uses less digits than its factorization.

35135145434040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5310 (or 5306 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

Adding to 35135145434040 its reverse (4043454153153), we get a palindrome (39178599587193).

The spelling of 35135145434040 in words is "thirty-five trillion, one hundred thirty-five billion, one hundred forty-five million, four hundred thirty-four thousand, forty".