2435034101040 has 120 divisors (see below), whose sum is σ = 8178511950960. Its totient is φ = 649274476032.

The previous prime is 2435034101009. The next prime is 2435034101069. The reversal of 2435034101040 is 401014305342.

It is a happy number.

2435034101040 is a `hidden beast` number, since 2 + 43 + 503 + 4 + 10 + 104 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 2435034100995 and 2435034101013.

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 23 ways as a sum of consecutive naturals, for example, 6904839 + ... + 7248921.

It is an arithmetic number, because the mean of its divisors is an integer number (68154266258).

Almost surely, 2^{2435034101040} is an apocalyptic number.

2435034101040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2435034101040 is an abundant number, since it is smaller than the sum of its proper divisors (5743477849920).

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

2435034101040 is a wasteful number, since it uses less digits than its factorization.

2435034101040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353931 (or 353922 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 2435034101040 its reverse (401014305342), we get a palindrome (2836048406382).

The spelling of 2435034101040 in words is "two trillion, four hundred thirty-five billion, thirty-four million, one hundred one thousand, forty".