40638400 has 84 divisors (see below), whose sum is σ = 109133640. Its totient is φ = 14771200.

The previous prime is 40638373. The next prime is 40638413. The reversal of 40638400 is 483604.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16446 + ... + 18754.

It is an arithmetic number, because the mean of its divisors is an integer number (1299210).

Almost surely, 2^40638400 is an apocalyptic number.

40638400 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 40638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54566820).

40638400 is an abundant number, since it is smaller than the sum of its proper divisors (68495240).

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

40638400 is a wasteful number, since it uses less digits than its factorization.

40638400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2342 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 40638400 is about 6374.8254878075. The cubic root of 40638400 is about 343.8050093783.

The spelling of 40638400 in words is "forty million, six hundred thirty-eight thousand, four hundred".