42310573355520 has 480 divisors, whose sum is σ = 147388378325760. Its totient is φ = 11217147002880.

The previous prime is 42310573355497. The next prime is 42310573355551. The reversal of 42310573355520 is 2555337501324.

42310573355520 is a `hidden beast` number, since 4 + 2 + 3 + 1 + 0 + 5 + 73 + 3 + 55 + 520 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3529698967 + ... + 3529710953.

It is an arithmetic number, because the mean of its divisors is an integer number (307059121512).

Almost surely, 2^{42310573355520} is an apocalyptic number.

42310573355520 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 42310573355520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73694189162880).

42310573355520 is an abundant number, since it is smaller than the sum of its proper divisors (105077804970240).

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

42310573355520 is a wasteful number, since it uses less digits than its factorization.

42310573355520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12896 (or 12877 counting only the distinct ones).

The product of its (nonzero) digits is 1890000, while the sum is 45.

The spelling of 42310573355520 in words is "forty-two trillion, three hundred ten billion, five hundred seventy-three million, three hundred fifty-five thousand, five hundred twenty".