40205400 has 96 divisors (see below), whose sum is σ = 125951760. Its totient is φ = 10608640.

The previous prime is 40205359. The next prime is 40205423. The reversal of 40205400 is 450204.

40205400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 40205400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67504 + ... + 68096.

Almost surely, 2^40205400 is an apocalyptic number.

40205400 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 40205400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62975880).

40205400 is an abundant number, since it is smaller than the sum of its proper divisors (85746360).

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

40205400 is a wasteful number, since it uses less digits than its factorization.

40205400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 40205400 is about 6340.7728235602. The cubic root of 40205400 is about 342.5795719713.

Adding to 40205400 its reverse (450204), we get a palindrome (40655604).

The spelling of 40205400 in words is "forty million, two hundred five thousand, four hundred".