42106853376 has 768 divisors, whose sum is σ = 154732032000. Its totient is φ = 11179524096.

The previous prime is 42106853351. The next prime is 42106853381. The reversal of 42106853376 is 67335860124.

42106853376 is a `hidden beast` number, since 4 + 2 + 106 + 8 + 533 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 532998105 + ... + 532998183.

It is an arithmetic number, because the mean of its divisors is an integer number (201474000).

Almost surely, 2^42106853376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42106853376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77366016000).

42106853376 is an abundant number, since it is smaller than the sum of its proper divisors (112625178624).

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

42106853376 is an frugal number, since it uses more digits than its factorization.

42106853376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

It can be divided in two parts, 4210 and 6853376, that added together give a palindrome (6857586).

The spelling of 42106853376 in words is "forty-two billion, one hundred six million, eight hundred fifty-three thousand, three hundred seventy-six".