40522400 has 72 divisors (see below), whose sum is σ = 101673180. Its totient is φ = 15770880.

The previous prime is 40522399. The next prime is 40522403. The reversal of 40522400 is 422504.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

40522400 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 6 ways, for example, as 26173456 + 14348944 = 5116^2 + 3788^2 .

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (40522403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1095182 + ... + 1095218.

Almost surely, 2^40522400 is an apocalyptic number.

40522400 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 40522400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50836590).

40522400 is an abundant number, since it is smaller than the sum of its proper divisors (61150780).

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

40522400 is an frugal number, since it uses more digits than its factorization.

40522400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 40522400 is about 6365.7206976115. The cubic root of 40522400 is about 343.4775736873.

Adding to 40522400 its reverse (422504), we get a palindrome (40944904).

The spelling of 40522400 in words is "forty million, five hundred twenty-two thousand, four hundred".