42375646016 has 112 divisors (see below), whose sum is σ = 96878412288. Its totient is φ = 18201638400.

The previous prime is 42375645979. The next prime is 42375646031. The reversal of 42375646016 is 61064657324.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

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, 1328171 + ... + 1359701.

It is an arithmetic number, because the mean of its divisors is an integer number (864985824).

Almost surely, 2^42375646016 is an apocalyptic number.

42375646016 is a gapful number since it is divisible by the number (46) 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 42375646016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48439206144).

42375646016 is an abundant number, since it is smaller than the sum of its proper divisors (54502766272).

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

42375646016 is a wasteful number, since it uses less digits than its factorization.

42375646016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31660 (or 31650 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 44.

The spelling of 42375646016 in words is "forty-two billion, three hundred seventy-five million, six hundred forty-six thousand, sixteen".