41954400 has 108 divisors (see below), whose sum is σ = 147967092. Its totient is φ = 11185920.

The previous prime is 41954389. The next prime is 41954401. The reversal of 41954400 is 445914.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41954401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4287 + ... + 10113.

Almost surely, 2^41954400 is an apocalyptic number.

41954400 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 41954400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73983546).

41954400 is an abundant number, since it is smaller than the sum of its proper divisors (106012692).

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

41954400 is a wasteful number, since it uses less digits than its factorization.

41954400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5853 (or 5837 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 41954400 is about 6477.2216265927. The cubic root of 41954400 is about 347.4768198744.

It can be divided in two parts, 4 and 1954400, that added together give a square (1954404 = 1398²).

The spelling of 41954400 in words is "forty-one million, nine hundred fifty-four thousand, four hundred".