41368800 has 144 divisors (see below), whose sum is σ = 146990592. Its totient is φ = 10022400.

The previous prime is 41368799. The next prime is 41368801. The reversal of 41368800 is 886314.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (41368799) and next prime (41368801).

It is a super-2 number, since 2×41368800² = 3422755226880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41368801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25617 + ... + 27183.

It is an arithmetic number, because the mean of its divisors is an integer number (1020768).

Almost surely, 2^41368800 is an apocalyptic number.

41368800 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 41368800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73495296).

41368800 is an abundant number, since it is smaller than the sum of its proper divisors (105621792).

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

41368800 is a wasteful number, since it uses less digits than its factorization.

41368800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 41368800 is about 6431.8582073923. The cubic root of 41368800 is about 345.8525438918.

The spelling of 41368800 in words is "forty-one million, three hundred sixty-eight thousand, eight hundred".