41281198560 has 1152 divisors, whose sum is σ = 179538508800. Its totient is φ = 8813629440.

The previous prime is 41281198547. The next prime is 41281198579. The reversal of 41281198560 is 6589118214.

It is a happy number.

41281198560 is a `hidden beast` number, since 4 + 1 + 2 + 81 + 1 + 9 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 296986971 + ... + 296987109.

It is an arithmetic number, because the mean of its divisors is an integer number (155849400).

Almost surely, 2^41281198560 is an apocalyptic number.

41281198560 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 41281198560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89769254400).

41281198560 is an abundant number, since it is smaller than the sum of its proper divisors (138257310240).

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

41281198560 is a wasteful number, since it uses less digits than its factorization.

41281198560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 41281198560 in words is "forty-one billion, two hundred eighty-one million, one hundred ninety-eight thousand, five hundred sixty".