42554071200 has 144 divisors (see below), whose sum is σ = 139808864160. Its totient is φ = 11241630720.

The previous prime is 42554071193. The next prime is 42554071249. The reversal of 42554071200 is 217045524.

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

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, 173946 + ... + 339654.

It is an arithmetic number, because the mean of its divisors is an integer number (970894890).

Almost surely, 2^42554071200 is an apocalyptic number.

42554071200 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 42554071200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69904432080).

42554071200 is an abundant number, since it is smaller than the sum of its proper divisors (97254792960).

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

42554071200 is a wasteful number, since it uses less digits than its factorization.

42554071200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165839 (or 165826 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

The spelling of 42554071200 in words is "forty-two billion, five hundred fifty-four million, seventy-one thousand, two hundred".