41361456100 has 72 divisors (see below), whose sum is σ = 90696070080. Its totient is φ = 16371400320.

The previous prime is 41361456091. The next prime is 41361456109. The reversal of 41361456100 is 165416314.

It is an interprime number because it is at equal distance from previous prime (41361456091) and next prime (41361456109).

It is not an unprimeable number, because it can be changed into a prime (41361456109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10320297 + ... + 10324303.

It is an arithmetic number, because the mean of its divisors is an integer number (1259667640).

Almost surely, 2^41361456100 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 41361456100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45348035040).

41361456100 is an abundant number, since it is smaller than the sum of its proper divisors (49334613980).

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

41361456100 is a wasteful number, since it uses less digits than its factorization.

41361456100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5077 (or 5070 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 41361456100 in words is "forty-one billion, three hundred sixty-one million, four hundred fifty-six thousand, one hundred".