42016000 has 144 divisors (see below), whose sum is σ = 113834448. Its totient is φ = 15360000.

The previous prime is 42015997. The next prime is 42016003. The reversal of 42016000 is 61024.

It is an interprime number because it is at equal distance from previous prime (42015997) and next prime (42016003).

It can be written as a sum of positive squares in 8 ways, for example, as 9935104 + 32080896 = 3152^2 + 5664^2 .

It is a hoax number, since the sum of its digits (13) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42016003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 415950 + ... + 416050.

It is an arithmetic number, because the mean of its divisors is an integer number (790517).

Almost surely, 2^42016000 is an apocalyptic number.

42016000 is a gapful number since it is divisible by the number (40) 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 42016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56917224).

42016000 is an abundant number, since it is smaller than the sum of its proper divisors (71818448).

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

42016000 is a wasteful number, since it uses less digits than its factorization.

42016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 42016000 is about 6481.9750076655. The cubic root of 42016000 is about 347.6467989056.

Adding to 42016000 its reverse (61024), we get a palindrome (42077024).

It can be divided in two parts, 4201 and 6000, that added together give a palindrome (10201).

The spelling of 42016000 in words is "forty-two million, sixteen thousand".