41179998240 has 240 divisors, whose sum is σ = 150020640000. Its totient is φ = 10626992640.

The previous prime is 41179998203. The next prime is 41179998257. The reversal of 41179998240 is 4289997114.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 350511 + ... + 453009.

It is an arithmetic number, because the mean of its divisors is an integer number (625086000).

Almost surely, 2^41179998240 is an apocalyptic number.

41179998240 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 41179998240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75010320000).

41179998240 is an abundant number, since it is smaller than the sum of its proper divisors (108840641760).

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

41179998240 is a wasteful number, since it uses less digits than its factorization.

41179998240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102557 (or 102540 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 41179998240 in words is "forty-one billion, one hundred seventy-nine million, nine hundred ninety-eight thousand, two hundred forty".