42212546000 has 160 divisors (see below), whose sum is σ = 104652587520. Its totient is φ = 16463040000.

The previous prime is 42212545967. The next prime is 42212546009. The reversal of 42212546000 is 64521224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42212546009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13532441 + ... + 13535559.

It is an arithmetic number, because the mean of its divisors is an integer number (654078672).

Almost surely, 2^42212546000 is an apocalyptic number.

42212546000 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 42212546000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52326293760).

42212546000 is an abundant number, since it is smaller than the sum of its proper divisors (62440041520).

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

42212546000 is a wasteful number, since it uses less digits than its factorization.

42212546000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3310 (or 3294 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The spelling of 42212546000 in words is "forty-two billion, two hundred twelve million, five hundred forty-six thousand".