41903605972800 has 3360 divisors, whose sum is σ = 192977959870080. Its totient is φ = 8814226636800.

The previous prime is 41903605972751. The next prime is 41903605972801. The reversal of 41903605972800 is 827950630914.

41903605972800 is a `hidden beast` number, since 4 + 1 + 9 + 0 + 3 + 605 + 9 + 7 + 28 + 0 + 0 = 666.

It is a super-4 number, since 4×41903605972800⁴ (a number of 56 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41903605972801) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 53244734007 + ... + 53244734793.

It is an arithmetic number, because the mean of its divisors is an integer number (57433916628).

It is a 2-persistent number, because it is pandigital, and so is 2⋅41903605972800 = 83807211945600, but 3⋅41903605972800 = 125710817918400 is not.

Almost surely, 2^{41903605972800} is an apocalyptic number.

41903605972800 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 41903605972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96488979935040).

41903605972800 is an abundant number, since it is smaller than the sum of its proper divisors (151074353897280).

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

41903605972800 is a wasteful number, since it uses less digits than its factorization.

41903605972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 41903605972800 in words is "forty-one trillion, nine hundred three billion, six hundred five million, nine hundred seventy-two thousand, eight hundred".