42370047265728 has 224 divisors, whose sum is σ = 137997037696000. Its totient is φ = 11172672921600.

The previous prime is 42370047265717. The next prime is 42370047265747. The reversal of 42370047265728 is 82756274007324.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107273148 + ... + 107667396.

It is an arithmetic number, because the mean of its divisors is an integer number (616058204000).

Almost surely, 2^{42370047265728} is an apocalyptic number.

42370047265728 is a gapful number since it is divisible by the number (48) 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 42370047265728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68998518848000).

42370047265728 is an abundant number, since it is smaller than the sum of its proper divisors (95626990430272).

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

42370047265728 is a wasteful number, since it uses less digits than its factorization.

42370047265728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400435 (or 400425 counting only the distinct ones).

The product of its (nonzero) digits is 31610880, while the sum is 57.

The spelling of 42370047265728 in words is "forty-two trillion, three hundred seventy billion, forty-seven million, two hundred sixty-five thousand, seven hundred twenty-eight".