42943730400 has 216 divisors, whose sum is σ = 153692209944. Its totient is φ = 11280614400.

The previous prime is 42943730369. The next prime is 42943730407. The reversal of 42943730400 is 403734924.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42943730407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 437890 + ... + 526910.

It is an arithmetic number, because the mean of its divisors is an integer number (711538009).

Almost surely, 2^42943730400 is an apocalyptic number.

42943730400 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 42943730400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76846104972).

42943730400 is an abundant number, since it is smaller than the sum of its proper divisors (110748479544).

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

42943730400 is a wasteful number, since it uses less digits than its factorization.

42943730400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89114 (or 89098 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 42943730400 in words is "forty-two billion, nine hundred forty-three million, seven hundred thirty thousand, four hundred".