35857642240 has 144 divisors (see below), whose sum is σ = 100555479360. Its totient is φ = 11994071040.

The previous prime is 35857642231. The next prime is 35857642253. The reversal of 35857642240 is 4224675853.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318556 + ... + 416164.

It is an arithmetic number, because the mean of its divisors is an integer number (698301940).

Almost surely, 2^35857642240 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 35857642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50277739680).

35857642240 is an abundant number, since it is smaller than the sum of its proper divisors (64697837120).

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

35857642240 is an equidigital number, since it uses as much as digits as its factorization.

35857642240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97678 (or 97664 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 46.

The spelling of 35857642240 in words is "thirty-five billion, eight hundred fifty-seven million, six hundred forty-two thousand, two hundred forty".