41284961280000 has 1260 divisors, whose sum is σ = 154877670694890. Its totient is φ = 11000365056000.

The previous prime is 41284961279999. The next prime is 41284961280083. The reversal of 41284961280000 is 8216948214.

41284961280000 is a `hidden beast` number, since 4 + 1 + 28 + 4 + 9 + 612 + 8 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 7634566877184 + 33650394402816 = 2763072^2 + 5800896^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 33592319386 + ... + 33592320614.

Almost surely, 2^{41284961280000} is an apocalyptic number.

41284961280000 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 41284961280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77438835347445).

41284961280000 is an abundant number, since it is smaller than the sum of its proper divisors (113592709414890).

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

41284961280000 is an frugal number, since it uses more digits than its factorization.

41284961280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 41284961280000 in words is "forty-one trillion, two hundred eighty-four billion, nine hundred sixty-one million, two hundred eighty thousand".