40442000 has 80 divisors (see below), whose sum is σ = 99486192. Its totient is φ = 15897600.

The previous prime is 40441991. The next prime is 40442009. The reversal of 40442000 is 24404.

It is an interprime number because it is at equal distance from previous prime (40441991) and next prime (40442009).

It can be written as a sum of positive squares in 8 ways, for example, as 18800896 + 21641104 = 4336^2 + 4652^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (40442009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145862 + ... + 146138.

Almost surely, 2^40442000 is an apocalyptic number.

40442000 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 40442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49743096).

40442000 is an abundant number, since it is smaller than the sum of its proper divisors (59044192).

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

40442000 is a wasteful number, since it uses less digits than its factorization.

40442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 40442000 is about 6359.4024876556. The cubic root of 40442000 is about 343.2502600616.

Adding to 40442000 its reverse (24404), we get a palindrome (40466404).

The spelling of 40442000 in words is "forty million, four hundred forty-two thousand".