42704051120 has 80 divisors (see below), whose sum is σ = 100613560320. Its totient is φ = 16853920512.

The previous prime is 42704051077. The next prime is 42704051149. The reversal of 42704051120 is 2115040724.

42704051120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 42704051120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5700017 + ... + 5707503.

It is an arithmetic number, because the mean of its divisors is an integer number (1257669504).

Almost surely, 2^42704051120 is an apocalyptic number.

42704051120 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 42704051120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50306780160).

42704051120 is an abundant number, since it is smaller than the sum of its proper divisors (57909509200).

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

42704051120 is a wasteful number, since it uses less digits than its factorization.

42704051120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8442 (or 8436 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

Adding to 42704051120 its reverse (2115040724), we get a palindrome (44819091844).

The spelling of 42704051120 in words is "forty-two billion, seven hundred four million, fifty-one thousand, one hundred twenty".