42034538722176 has 2688 divisors, whose sum is σ = 174967314611040. Its totient is φ = 9879904419840.

The previous prime is 42034538722157. The next prime is 42034538722193. The reversal of 42034538722176 is 67122783543024.

42034538722176 is a `hidden beast` number, since 4 + 2 + 0 + 3 + 45 + 387 + 2 + 217 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-2 number, since 2×42034538722176² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 34653370146 + ... + 34653371358.

Almost surely, 2^{42034538722176} 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 42034538722176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87483657305520).

42034538722176 is an abundant number, since it is smaller than the sum of its proper divisors (132932775888864).

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

42034538722176 is a wasteful number, since it uses less digits than its factorization.

42034538722176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 42034538722176 in words is "forty-two trillion, thirty-four billion, five hundred thirty-eight million, seven hundred twenty-two thousand, one hundred seventy-six".