42315853373640 has 1152 divisors, whose sum is σ = 186297501312000. Its totient is φ = 8212743705600.

The previous prime is 42315853373567. The next prime is 42315853373743. The reversal of 42315853373640 is 4637335851324.

42315853373640 is a `hidden beast` number, since 4 + 2 + 31 + 5 + 8 + 533 + 7 + 36 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 261679131 + ... + 261840789.

It is an arithmetic number, because the mean of its divisors is an integer number (161716581000).

Almost surely, 2^{42315853373640} is an apocalyptic number.

42315853373640 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 42315853373640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93148750656000).

42315853373640 is an abundant number, since it is smaller than the sum of its proper divisors (143981647938360).

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

42315853373640 is a wasteful number, since it uses less digits than its factorization.

42315853373640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161791 (or 161777 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

The spelling of 42315853373640 in words is "forty-two trillion, three hundred fifteen billion, eight hundred fifty-three million, three hundred seventy-three thousand, six hundred forty".