42895533873024 has 192 divisors, whose sum is σ = 141136952742240. Its totient is φ = 12250061733888.

The previous prime is 42895533872957. The next prime is 42895533873091. The reversal of 42895533873024 is 42037833559824.

42895533873024 is a `hidden beast` number, since 4 + 2 + 8 + 9 + 5 + 533 + 8 + 73 + 0 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (42895533872957) and next prime (42895533873091).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15780504 + ... + 18297960.

Almost surely, 2^{42895533873024} 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 42895533873024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70568476371120).

42895533873024 is an abundant number, since it is smaller than the sum of its proper divisors (98241418869216).

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

42895533873024 is a wasteful number, since it uses less digits than its factorization.

42895533873024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2519597 (or 2519582 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 42895533873024 in words is "forty-two trillion, eight hundred ninety-five billion, five hundred thirty-three million, eight hundred seventy-three thousand, twenty-four".