41376666240 has 1280 divisors, whose sum is σ = 186611040000. Its totient is φ = 8681250816.

The previous prime is 41376666229. The next prime is 41376666259. The reversal of 41376666240 is 4266667314.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 231154471 + ... + 231154649.

It is an arithmetic number, because the mean of its divisors is an integer number (145789875).

Almost surely, 2^41376666240 is an apocalyptic number.

41376666240 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 41376666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93305520000).

41376666240 is an abundant number, since it is smaller than the sum of its proper divisors (145234373760).

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

41376666240 is a wasteful number, since it uses less digits than its factorization.

41376666240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 41376666240 in words is "forty-one billion, three hundred seventy-six million, six hundred sixty-six thousand, two hundred forty".