40424400 has 240 divisors, whose sum is σ = 152222400. Its totient is φ = 10160640.

The previous prime is 40424399. The next prime is 40424411. The reversal of 40424400 is 442404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 205102 + ... + 205298.

It is an arithmetic number, because the mean of its divisors is an integer number (634260).

Almost surely, 2^40424400 is an apocalyptic number.

40424400 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 40424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76111200).

40424400 is an abundant number, since it is smaller than the sum of its proper divisors (111798000).

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

40424400 is a wasteful number, since it uses less digits than its factorization.

40424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 40424400 is about 6358.0185592683. The cubic root of 40424400 is about 343.2004596796.

Adding to 40424400 its reverse (442404), we get a palindrome (40866804).

The spelling of 40424400 in words is "forty million, four hundred twenty-four thousand, four hundred".