41072262073920 has 2016 divisors, whose sum is σ = 185980065448320. Its totient is φ = 8220851896320.

The previous prime is 41072262073907. The next prime is 41072262073937. The reversal of 41072262073920 is 2937026227014.

41072262073920 is a `hidden beast` number, since 4 + 10 + 7 + 2 + 2 + 620 + 7 + 3 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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 287 ways as a sum of consecutive naturals, for example, 4872728266 + ... + 4872736694.

Almost surely, 2^{41072262073920} is an apocalyptic number.

41072262073920 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 41072262073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92990032724160).

41072262073920 is an abundant number, since it is smaller than the sum of its proper divisors (144907803374400).

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

41072262073920 is a wasteful number, since it uses less digits than its factorization.

41072262073920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8593 (or 8573 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 41072262073920 in words is "forty-one trillion, seventy-two billion, two hundred sixty-two million, seventy-three thousand, nine hundred twenty".