41202266112000 has 2560 divisors, whose sum is σ = 178252322751360. Its totient is φ = 9274864435200.

The previous prime is 41202266111999. The next prime is 41202266112013. The reversal of 41202266112000 is 21166220214.

41202266112000 is a `hidden beast` number, since 4 + 1 + 2 + 0 + 2 + 26 + 611 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 262434815922 + ... + 262434816078.

Almost surely, 2^{41202266112000} is an apocalyptic number.

41202266112000 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 41202266112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89126161375680).

41202266112000 is an abundant number, since it is smaller than the sum of its proper divisors (137050056639360).

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

41202266112000 is an equidigital number, since it uses as much as digits as its factorization.

41202266112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 41202266112000 in words is "forty-one trillion, two hundred two billion, two hundred sixty-six million, one hundred twelve thousand".