42746944320 has 224 divisors, whose sum is σ = 153359510400. Its totient is φ = 11205844992.

The previous prime is 42746944243. The next prime is 42746944321. The reversal of 42746944320 is 2344964724.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42746944321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 467832 + ... + 551688.

Almost surely, 2^42746944320 is an apocalyptic number.

42746944320 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 42746944320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76679755200).

42746944320 is an abundant number, since it is smaller than the sum of its proper divisors (110612566080).

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

42746944320 is a wasteful number, since it uses less digits than its factorization.

42746944320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83942 (or 83926 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 42746944320 in words is "forty-two billion, seven hundred forty-six million, nine hundred forty-four thousand, three hundred twenty".