41121784704000 has 8448 divisors, whose sum is σ = 211363653795840. Its totient is φ = 6936330240000.

The previous prime is 41121784703981. The next prime is 41121784704023. The reversal of 41121784704000 is 40748712114.

It is a tau number, because it is divible by the number of its divisors (8448).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 41121784704000.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1326509183985 + ... + 1326509184015.

Almost surely, 2^{41121784704000} is an apocalyptic number.

41121784704000 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 41121784704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105681826897920).

41121784704000 is an abundant number, since it is smaller than the sum of its proper divisors (170241869091840).

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

41121784704000 is a wasteful number, since it uses less digits than its factorization.

41121784704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 39.

The spelling of 41121784704000 in words is "forty-one trillion, one hundred twenty-one billion, seven hundred eighty-four million, seven hundred four thousand".