35124042240 has 480 divisors, whose sum is σ = 140641712640. Its totient is φ = 7934902272.

The previous prime is 35124042229. The next prime is 35124042301. The reversal of 35124042240 is 4224042153.

35124042240 is a `hidden beast` number, since 3 + 5 + 12 + 404 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14352697 + ... + 14355143.

It is an arithmetic number, because the mean of its divisors is an integer number (293003568).

Almost surely, 2^35124042240 is an apocalyptic number.

35124042240 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 35124042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70320856320).

35124042240 is an abundant number, since it is smaller than the sum of its proper divisors (105517670400).

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

35124042240 is a wasteful number, since it uses less digits than its factorization.

35124042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2572 (or 2553 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 35124042240 its reverse (4224042153), we get a palindrome (39348084393).

The spelling of 35124042240 in words is "thirty-five billion, one hundred twenty-four million, forty-two thousand, two hundred forty".