42884884871600 has 120 divisors (see below), whose sum is σ = 103728028941072. Its totient is φ = 17038024704000.

The previous prime is 42884884871519. The next prime is 42884884871603. The reversal of 42884884871600 is 617848848824.

It is a super-2 number, since 2×42884884871600² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42884884871603) by changing a digit.

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, 104179784 + ... + 104590616.

Almost surely, 2^{42884884871600} is an apocalyptic number.

42884884871600 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 42884884871600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51864014470536).

42884884871600 is an abundant number, since it is smaller than the sum of its proper divisors (60843144069472).

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

42884884871600 is a wasteful number, since it uses less digits than its factorization.

42884884871600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412615 (or 412604 counting only the distinct ones).

The product of its (nonzero) digits is 176160768, while the sum is 68.

The spelling of 42884884871600 in words is "forty-two trillion, eight hundred eighty-four billion, eight hundred eighty-four million, eight hundred seventy-one thousand, six hundred".