41386400 has 72 divisors (see below), whose sum is σ = 110242944. Its totient is φ = 15046400.

The previous prime is 41386391. The next prime is 41386403. The reversal of 41386400 is 468314.

It is a self number, because there is not a number n which added to its sum of digits gives 41386400.

It is not an unprimeable number, because it can be changed into a prime (41386403) by changing a digit.

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, 6449 + ... + 11151.

It is an arithmetic number, because the mean of its divisors is an integer number (1531152).

Almost surely, 2^41386400 is an apocalyptic number.

41386400 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 41386400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55121472).

41386400 is an abundant number, since it is smaller than the sum of its proper divisors (68856544).

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

41386400 is a wasteful number, since it uses less digits than its factorization.

41386400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4734 (or 4721 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 41386400 is about 6433.2262512677. The cubic root of 41386400 is about 345.9015836009.

The spelling of 41386400 in words is "forty-one million, three hundred eighty-six thousand, four hundred".