42821067942912 has 704 divisors, whose sum is σ = 141916920872960. Its totient is φ = 11202217574400.

The previous prime is 42821067942871. The next prime is 42821067942967. The reversal of 42821067942912 is 21924976012824.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12627856737 + ... + 12627860127.

Almost surely, 2^{42821067942912} is an apocalyptic number.

42821067942912 is a gapful number since it is divisible by the number (42) 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 42821067942912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70958460436480).

42821067942912 is an abundant number, since it is smaller than the sum of its proper divisors (99095852930048).

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

42821067942912 is a wasteful number, since it uses less digits than its factorization.

42821067942912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4468 (or 4450 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 42821067942912 in words is "forty-two trillion, eight hundred twenty-one billion, sixty-seven million, nine hundred forty-two thousand, nine hundred twelve".