35224203504240 has 240 divisors, whose sum is σ = 124058163340800. Its totient is φ = 8939574167040.

The previous prime is 35224203504209. The next prime is 35224203504323. The reversal of 35224203504240 is 4240530242253.

35224203504240 is a `hidden beast` number, since 3 + 5 + 2 + 24 + 203 + 5 + 0 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×35224203504240² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 35224203504195 and 35224203504204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2048946 + ... + 8639825.

It is an arithmetic number, because the mean of its divisors is an integer number (516909013920).

Almost surely, 2^{35224203504240} is an apocalyptic number.

35224203504240 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 35224203504240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62029081670400).

35224203504240 is an abundant number, since it is smaller than the sum of its proper divisors (88833959836560).

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

35224203504240 is a wasteful number, since it uses less digits than its factorization.

35224203504240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10689012 (or 10689003 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

Adding to 35224203504240 its reverse (4240530242253), we get a palindrome (39464733746493).

The spelling of 35224203504240 in words is "thirty-five trillion, two hundred twenty-four billion, two hundred three million, five hundred four thousand, two hundred forty".