35044541142540 has 192 divisors, whose sum is σ = 104688642046464. Its totient is φ = 8728641073152.

The previous prime is 35044541142517. The next prime is 35044541142547. The reversal of 35044541142540 is 4524114544053.

It is a junction number, because it is equal to n+sod(n) for n = 35044541142492 and 35044541142501.

It is not an unprimeable number, because it can be changed into a prime (35044541142547) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96342087 + ... + 96705153.

It is an arithmetic number, because the mean of its divisors is an integer number (545253343992).

Almost surely, 2^{35044541142540} is an apocalyptic number.

35044541142540 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 35044541142540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52344321023232).

35044541142540 is an abundant number, since it is smaller than the sum of its proper divisors (69644100903924).

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

35044541142540 is a wasteful number, since it uses less digits than its factorization.

35044541142540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363816 (or 363814 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 42.

Adding to 35044541142540 its reverse (4524114544053), we get a palindrome (39568655686593).

The spelling of 35044541142540 in words is "thirty-five trillion, forty-four billion, five hundred forty-one million, one hundred forty-two thousand, five hundred forty".