41404294080 has 336 divisors, whose sum is σ = 146282932224. Its totient is φ = 10743183360.

The previous prime is 41404294039. The next prime is 41404294109. The reversal of 41404294080 is 8049240414.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45448825 + ... + 45449735.

Almost surely, 2^41404294080 is an apocalyptic number.

41404294080 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 41404294080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73141466112).

41404294080 is an abundant number, since it is smaller than the sum of its proper divisors (104878638144).

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

41404294080 is a wasteful number, since it uses less digits than its factorization.

41404294080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 41404294080 in words is "forty-one billion, four hundred four million, two hundred ninety-four thousand, eighty".