41221268800 has 84 divisors (see below), whose sum is σ = 103904154396. Its totient is φ = 16086323200.

The previous prime is 41221268791. The next prime is 41221268897. The reversal of 41221268800 is 886212214.

It can be written as a sum of positive squares in 6 ways, for example, as 14987635776 + 26233633024 = 122424^2 + 161968^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 248587 + ... + 379786.

It is an arithmetic number, because the mean of its divisors is an integer number (1236954219).

Almost surely, 2^41221268800 is an apocalyptic number.

41221268800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41221268800 is an abundant number, since it is smaller than the sum of its proper divisors (62682885596).

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

41221268800 is a wasteful number, since it uses less digits than its factorization.

41221268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628436 (or 628421 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The spelling of 41221268800 in words is "forty-one billion, two hundred twenty-one million, two hundred sixty-eight thousand, eight hundred".