41194199040 has 384 divisors, whose sum is σ = 136390625280. Its totient is φ = 10608574464.

The previous prime is 41194199021. The next prime is 41194199089. The reversal of 41194199040 is 4099149114.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 41194198983 and 41194199001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148715382 + ... + 148715658.

It is an arithmetic number, because the mean of its divisors is an integer number (355183920).

Almost surely, 2^41194199040 is an apocalyptic number.

41194199040 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 41194199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68195312640).

41194199040 is an abundant number, since it is smaller than the sum of its proper divisors (95196426240).

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

41194199040 is a wasteful number, since it uses less digits than its factorization.

41194199040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The spelling of 41194199040 in words is "forty-one billion, one hundred ninety-four million, one hundred ninety-nine thousand, forty".