41400865800 has 480 divisors, whose sum is σ = 169648427520. Its totient is φ = 9157017600.

The previous prime is 41400865777. The next prime is 41400865817. The reversal of 41400865800 is 856800414.

It is a Harshad number since it is a multiple of its sum of digits (36).

41400865800 is a modest number, since divided by 865800 gives 41400 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3509512 + ... + 3521288.

It is an arithmetic number, because the mean of its divisors is an integer number (353434224).

Almost surely, 2^41400865800 is an apocalyptic number.

41400865800 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 41400865800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84824213760).

41400865800 is an abundant number, since it is smaller than the sum of its proper divisors (128247561720).

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

41400865800 is a wasteful number, since it uses less digits than its factorization.

41400865800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11843 (or 11825 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 41400865800 in words is "forty-one billion, four hundred million, eight hundred sixty-five thousand, eight hundred".