42945487200 has 1728 divisors, whose sum is σ = 207466721280. Its totient is φ = 8398080000.

The previous prime is 42945487199. The next prime is 42945487229. The reversal of 42945487200 is 278454924.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 284407125 + ... + 284407275.

It is an arithmetic number, because the mean of its divisors is an integer number (120061760).

Almost surely, 2^42945487200 is an apocalyptic number.

42945487200 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 42945487200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103733360640).

42945487200 is an abundant number, since it is smaller than the sum of its proper divisors (164521234080).

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

42945487200 is a wasteful number, since it uses less digits than its factorization.

42945487200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 42945487200 in words is "forty-two billion, nine hundred forty-five million, four hundred eighty-seven thousand, two hundred".