35412414140240 has 160 divisors (see below), whose sum is σ = 87879856507776. Its totient is φ = 13224564817920.

The previous prime is 35412414140237. The next prime is 35412414140293. The reversal of 35412414140240 is 4204141421453.

It is a self number, because there is not a number n which added to its sum of digits gives 35412414140240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115785920 + ... + 116091360.

Almost surely, 2^{35412414140240} 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 35412414140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43939928253888).

35412414140240 is an abundant number, since it is smaller than the sum of its proper divisors (52467442367536).

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

35412414140240 is a wasteful number, since it uses less digits than its factorization.

35412414140240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306157 (or 306151 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

Adding to 35412414140240 its reverse (4204141421453), we get a palindrome (39616555561693).

The spelling of 35412414140240 in words is "thirty-five trillion, four hundred twelve billion, four hundred fourteen million, one hundred forty thousand, two hundred forty".