42739416720 has 1200 divisors, whose sum is σ = 201149625600. Its totient is φ = 8184084480.

The previous prime is 42739416719. The next prime is 42739416721. The reversal of 42739416720 is 2761493724.

It is an interprime number because it is at equal distance from previous prime (42739416719) and next prime (42739416721).

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

It is not an unprimeable number, because it can be changed into a prime (42739416721) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 71350981 + ... + 71351579.

It is an arithmetic number, because the mean of its divisors is an integer number (167624688).

Almost surely, 2^42739416720 is an apocalyptic number.

42739416720 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 42739416720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100574812800).

42739416720 is an abundant number, since it is smaller than the sum of its proper divisors (158410208880).

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

42739416720 is a wasteful number, since it uses less digits than its factorization.

42739416720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 42739416720 in words is "forty-two billion, seven hundred thirty-nine million, four hundred sixteen thousand, seven hundred twenty".