35513440142424 has 256 divisors, whose sum is σ = 98480892026880. Its totient is φ = 10633050869760.

The previous prime is 35513440142423. The next prime is 35513440142527. The reversal of 35513440142424 is 42424104431553.

It is a super-2 number, since 2×35513440142424² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35513440142423) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 236087524 + ... + 236237900.

It is an arithmetic number, because the mean of its divisors is an integer number (384690984480).

Almost surely, 2^{35513440142424} 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 35513440142424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49240446013440).

35513440142424 is an abundant number, since it is smaller than the sum of its proper divisors (62967451884456).

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

35513440142424 is a wasteful number, since it uses less digits than its factorization.

35513440142424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150850 (or 150846 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

Adding to 35513440142424 its reverse (42424104431553), we get a palindrome (77937544573977).

The spelling of 35513440142424 in words is "thirty-five trillion, five hundred thirteen billion, four hundred forty million, one hundred forty-two thousand, four hundred twenty-four".