42953304240 has 640 divisors, whose sum is σ = 186356643840. Its totient is φ = 8833536000.

The previous prime is 42953304239. The next prime is 42953304263. The reversal of 42953304240 is 4240335924.

42953304240 is a `hidden beast` number, since 42 + 9 + 533 + 0 + 42 + 40 = 666.

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 = 42953304195 and 42953304204.

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 127 ways as a sum of consecutive naturals, for example, 16797042 + ... + 16799598.

It is an arithmetic number, because the mean of its divisors is an integer number (291182256).

Almost surely, 2^42953304240 is an apocalyptic number.

42953304240 is a gapful number since it is divisible by the number (40) 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 42953304240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93178321920).

42953304240 is an abundant number, since it is smaller than the sum of its proper divisors (143403339600).

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

42953304240 is a wasteful number, since it uses less digits than its factorization.

42953304240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2698 (or 2686 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 42953304240 in words is "forty-two billion, nine hundred fifty-three million, three hundred four thousand, two hundred forty".