40244400 has 180 divisors, whose sum is σ = 159710512. Its totient is φ = 9192960.

The previous prime is 40244387. The next prime is 40244441. The reversal of 40244400 is 444204.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×40244400² = 3239223462720000, which contains 22 as substring.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24402 + ... + 25998.

Almost surely, 2^40244400 is an apocalyptic number.

40244400 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 40244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79855256).

40244400 is an abundant number, since it is smaller than the sum of its proper divisors (119466112).

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

40244400 is a wasteful number, since it uses less digits than its factorization.

40244400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1614 counting only the distinct ones).

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

The square root of 40244400 is about 6343.8474130452. The cubic root of 40244400 is about 342.6903057336.

Adding to 40244400 its reverse (444204), we get a palindrome (40688604).

The spelling of 40244400 in words is "forty million, two hundred forty-four thousand, four hundred".