40041400 has 96 divisors (see below), whose sum is σ = 109412640. Its totient is φ = 13340160.

The previous prime is 40041389. The next prime is 40041451. The reversal of 40041400 is 414004.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51414 + ... + 52186.

It is an arithmetic number, because the mean of its divisors is an integer number (1139715).

Almost surely, 2^40041400 is an apocalyptic number.

40041400 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 40041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54706320).

40041400 is an abundant number, since it is smaller than the sum of its proper divisors (69371240).

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

40041400 is a wasteful number, since it uses less digits than its factorization.

40041400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 40041400 is about 6327.8274312753. The cubic root of 40041400 is about 342.1131369931.

Adding to 40041400 its reverse (414004), we get a palindrome (40455404).

The spelling of 40041400 in words is "forty million, forty-one thousand, four hundred".