945039143200 has 576 divisors, whose sum is σ = 2538107550720. Its totient is φ = 342650880000.

The previous prime is 945039143179. The next prime is 945039143203. The reversal of 945039143200 is 2341930549.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (945039143203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6019357522 + ... + 6019357678.

It is an arithmetic number, because the mean of its divisors is an integer number (4406436720).

Almost surely, 2^945039143200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 945039143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269053775360).

945039143200 is an abundant number, since it is smaller than the sum of its proper divisors (1593068407520).

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

945039143200 is a wasteful number, since it uses less digits than its factorization.

945039143200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The spelling of 945039143200 in words is "nine hundred forty-five billion, thirty-nine million, one hundred forty-three thousand, two hundred".