42710930400 has 288 divisors, whose sum is σ = 144008782848. Its totient is φ = 10988185600.

The previous prime is 42710930347. The next prime is 42710930401. The reversal of 42710930400 is 403901724.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42710930401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8006134 + ... + 8011466.

It is an arithmetic number, because the mean of its divisors is an integer number (500030496).

Almost surely, 2^42710930400 is an apocalyptic number.

42710930400 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 42710930400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72004391424).

42710930400 is an abundant number, since it is smaller than the sum of its proper divisors (101297852448).

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

42710930400 is a wasteful number, since it uses less digits than its factorization.

42710930400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5474 (or 5461 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 42710930400 in words is "forty-two billion, seven hundred ten million, nine hundred thirty thousand, four hundred".