41221077387100 has 288 divisors, whose sum is σ = 97771710960000. Its totient is φ = 14994233118720.

The previous prime is 41221077387097. The next prime is 41221077387109. The reversal of 41221077387100 is 178377012214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41221077387109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29464672201 + ... + 29464673599.

It is an arithmetic number, because the mean of its divisors is an integer number (339485107500).

Almost surely, 2^{41221077387100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41221077387100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48885855480000).

41221077387100 is an abundant number, since it is smaller than the sum of its proper divisors (56550633572900).

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

41221077387100 is a wasteful number, since it uses less digits than its factorization.

41221077387100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2577 (or 2570 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 43.

The spelling of 41221077387100 in words is "forty-one trillion, two hundred twenty-one billion, seventy-seven million, three hundred eighty-seven thousand, one hundred".