35415200012240 has 80 divisors (see below), whose sum is σ = 85969375964928. Its totient is φ = 13542432549888.

The previous prime is 35415200012233. The next prime is 35415200012303. The reversal of 35415200012240 is 4221000251453.

35415200012240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×35415200012240² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2264324 + ... + 8715363.

Almost surely, 2^{35415200012240} is an apocalyptic number.

It is an amenable number.

35415200012240 is an abundant number, since it is smaller than the sum of its proper divisors (50554175952688).

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

35415200012240 is a wasteful number, since it uses less digits than its factorization.

35415200012240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10981476 (or 10981470 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 35415200012240 its reverse (4221000251453), we get a palindrome (39636200263693).

The spelling of 35415200012240 in words is "thirty-five trillion, four hundred fifteen billion, two hundred million, twelve thousand, two hundred forty".