41434048972800 has 2592 divisors, whose sum is σ = 179207484674400. Its totient is φ = 9447918796800.

The previous prime is 41434048972777. The next prime is 41434048972801. The reversal of 41434048972800 is 827984043414.

41434048972800 is a `hidden beast` number, since 4 + 1 + 43 + 40 + 489 + 7 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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

It is not an unprimeable number, because it can be changed into a prime (41434048972801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 25592370391 + ... + 25592372009.

It is an arithmetic number, because the mean of its divisors is an integer number (69138690075).

Almost surely, 2^{41434048972800} is an apocalyptic number.

41434048972800 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 41434048972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89603742337200).

41434048972800 is an abundant number, since it is smaller than the sum of its proper divisors (137773435701600).

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

41434048972800 is a wasteful number, since it uses less digits than its factorization.

41434048972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 41434048972800 in words is "forty-one trillion, four hundred thirty-four billion, forty-eight million, nine hundred seventy-two thousand, eight hundred".