41198794560 has 448 divisors, whose sum is σ = 181206282240. Its totient is φ = 8560650240.

The previous prime is 41198794547. The next prime is 41198794561. The reversal of 41198794560 is 6549789114.

41198794560 is a `hidden beast` number, since 4 + 1 + 1 + 9 + 8 + 79 + 4 + 560 = 666.

41198794560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 41198794497 and 41198794506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41198794561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 634317 + ... + 696243.

Almost surely, 2^41198794560 is an apocalyptic number.

41198794560 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 41198794560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90603141120).

41198794560 is an abundant number, since it is smaller than the sum of its proper divisors (140007487680).

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

41198794560 is a wasteful number, since it uses less digits than its factorization.

41198794560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61971 (or 61955 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 41198794560 in words is "forty-one billion, one hundred ninety-eight million, seven hundred ninety-four thousand, five hundred sixty".