42671059200 has 1080 divisors, whose sum is σ = 196889689920. Its totient is φ = 8858419200.

The previous prime is 42671059129. The next prime is 42671059213. The reversal of 42671059200 is 295017624.

42671059200 is a `hidden beast` number, since 4 + 2 + 67 + 1 + 0 + 592 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 39916266 + ... + 39917334.

Almost surely, 2^42671059200 is an apocalyptic number.

42671059200 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 42671059200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98444844960).

42671059200 is an abundant number, since it is smaller than the sum of its proper divisors (154218630720).

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

42671059200 is a wasteful number, since it uses less digits than its factorization.

42671059200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 42671059200 in words is "forty-two billion, six hundred seventy-one million, fifty-nine thousand, two hundred".