42872068800 has 1680 divisors, whose sum is σ = 191389223520. Its totient is φ = 9289728000.

The previous prime is 42872068777. The next prime is 42872068847. The reversal of 42872068800 is 886027824.

It is a happy number.

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 239 ways as a sum of consecutive naturals, for example, 702820770 + ... + 702820830.

Almost surely, 2^42872068800 is an apocalyptic number.

42872068800 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 42872068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95694611760).

42872068800 is an abundant number, since it is smaller than the sum of its proper divisors (148517154720).

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

42872068800 is a wasteful number, since it uses less digits than its factorization.

42872068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 42872068800 in words is "forty-two billion, eight hundred seventy-two million, sixty-eight thousand, eight hundred".