41077145200 has 480 divisors, whose sum is σ = 127711825920. Its totient is φ = 12347596800.

The previous prime is 41077145189. The next prime is 41077145233. The reversal of 41077145200 is 254177014.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 66575292 + ... + 66575908.

It is an arithmetic number, because the mean of its divisors is an integer number (266066304).

Almost surely, 2^41077145200 is an apocalyptic number.

41077145200 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 41077145200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63855912960).

41077145200 is an abundant number, since it is smaller than the sum of its proper divisors (86634680720).

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

41077145200 is a wasteful number, since it uses less digits than its factorization.

41077145200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 31.

The spelling of 41077145200 in words is "forty-one billion, seventy-seven million, one hundred forty-five thousand, two hundred".