41007098880 has 880 divisors, whose sum is σ = 163711199520. Its totient is φ = 9732096000.

The previous prime is 41007098861. The next prime is 41007098887. The reversal of 41007098880 is 8889070014.

41007098880 is a `hidden beast` number, since 410 + 0 + 70 + 98 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (880).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41007098887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 406010830 + ... + 406010930.

It is an arithmetic number, because the mean of its divisors is an integer number (186035454).

Almost surely, 2^41007098880 is an apocalyptic number.

41007098880 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 41007098880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81855599760).

41007098880 is an abundant number, since it is smaller than the sum of its proper divisors (122704100640).

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

41007098880 is a wasteful number, since it uses less digits than its factorization.

41007098880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 41007098880 in words is "forty-one billion, seven million, ninety-eight thousand, eight hundred eighty".