41019198656436 has 1728 divisors, whose sum is σ = 157664669460480. Its totient is φ = 8993638241280.

The previous prime is 41019198656383. The next prime is 41019198656437. The reversal of 41019198656436 is 63465689191014.

41019198656436 is a `hidden beast` number, since 4 + 1 + 0 + 1 + 9 + 198 + 6 + 5 + 6 + 436 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41019198656437) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 10186041855 + ... + 10186045881.

It is an arithmetic number, because the mean of its divisors is an integer number (91241128160).

Almost surely, 2^{41019198656436} 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 41019198656436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78832334730240).

41019198656436 is an abundant number, since it is smaller than the sum of its proper divisors (116645470804044).

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

41019198656436 is a wasteful number, since it uses less digits than its factorization.

41019198656436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4144 (or 4111 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 41019198656436 in words is "forty-one trillion, nineteen billion, one hundred ninety-eight million, six hundred fifty-six thousand, four hundred thirty-six".