42161004 has 72 divisors (see below), whose sum is σ = 110222112. Its totient is φ = 13582080.

The previous prime is 42160999. The next prime is 42161029. The reversal of 42161004 is 40016124.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160177 + ... + 160439.

Almost surely, 2^42161004 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 42161004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55111056).

42161004 is an abundant number, since it is smaller than the sum of its proper divisors (68061108).

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

42161004 is a wasteful number, since it uses less digits than its factorization.

42161004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 42161004 is about 6493.1505449974. The cubic root of 42161004 is about 348.0462681248.

Adding to 42161004 its reverse (40016124), we get a palindrome (82177128).

It can be divided in two parts, 421 and 61004, that added together give a triangular number (61425 = T₃₅₀).

The spelling of 42161004 in words is "forty-two million, one hundred sixty-one thousand, four".