41077223806080 has 2304 divisors, whose sum is σ = 176900570542080. Its totient is φ = 8065109606400.

The previous prime is 41077223806063. The next prime is 41077223806103. The reversal of 41077223806080 is 8060832277014.

It is a super-2 number, since 2×41077223806080² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 15174444087 + ... + 15174446793.

It is an arithmetic number, because the mean of its divisors is an integer number (76779761520).

Almost surely, 2^{41077223806080} is an apocalyptic number.

41077223806080 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 41077223806080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88450285271040).

41077223806080 is an abundant number, since it is smaller than the sum of its proper divisors (135823346736000).

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

41077223806080 is a wasteful number, since it uses less digits than its factorization.

41077223806080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2839 (or 2809 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 41077223806080 in words is "forty-one trillion, seventy-seven billion, two hundred twenty-three million, eight hundred six thousand, eighty".