42089203200 has 240 divisors, whose sum is σ = 151680488256. Its totient is φ = 10203340800.

The previous prime is 42089203187. The next prime is 42089203213. The reversal of 42089203200 is 230298024.

It is an interprime number because it is at equal distance from previous prime (42089203187) and next prime (42089203213).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 372579 + ... + 472221.

Almost surely, 2^42089203200 is an apocalyptic number.

42089203200 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 42089203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75840244128).

42089203200 is an abundant number, since it is smaller than the sum of its proper divisors (109591285056).

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

42089203200 is a wasteful number, since it uses less digits than its factorization.

42089203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99685 (or 99664 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 42089203200 in words is "forty-two billion, eighty-nine million, two hundred three thousand, two hundred".