41406720000 has 480 divisors, whose sum is σ = 141846344640. Its totient is φ = 10731520000.

The previous prime is 41406719971. The next prime is 41406720001. The reversal of 41406720000 is 2760414.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×41406720000³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (41406720001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 157439869 + ... + 157440131.

It is an arithmetic number, because the mean of its divisors is an integer number (295513218).

Almost surely, 2^41406720000 is an apocalyptic number.

41406720000 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 41406720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70923172320).

41406720000 is an abundant number, since it is smaller than the sum of its proper divisors (100439624640).

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

41406720000 is an equidigital number, since it uses as much as digits as its factorization.

41406720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The spelling of 41406720000 in words is "forty-one billion, four hundred six million, seven hundred twenty thousand".