42870220800 has 288 divisors, whose sum is σ = 154612916640. Its totient is φ = 10392371200.

The previous prime is 42870220787. The next prime is 42870220801. The reversal of 42870220800 is 802207824.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (42870220801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1676914 + ... + 1702286.

It is an arithmetic number, because the mean of its divisors is an integer number (536850405).

Almost surely, 2^42870220800 is an apocalyptic number.

42870220800 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 42870220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77306458320).

42870220800 is an abundant number, since it is smaller than the sum of its proper divisors (111742695840).

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

42870220800 is a wasteful number, since it uses less digits than its factorization.

42870220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25419 (or 25394 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The spelling of 42870220800 in words is "forty-two billion, eight hundred seventy million, two hundred twenty thousand, eight hundred".