41270786304 has 576 divisors, whose sum is σ = 133807500288. Its totient is φ = 11147673600.

The previous prime is 41270786257. The next prime is 41270786317. The reversal of 41270786304 is 40368707214.

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 63 ways as a sum of consecutive naturals, for example, 253194927 + ... + 253195089.

It is an arithmetic number, because the mean of its divisors is an integer number (232304688).

Almost surely, 2^41270786304 is an apocalyptic number.

41270786304 is a gapful number since it is divisible by the number (44) 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 41270786304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66903750144).

41270786304 is an abundant number, since it is smaller than the sum of its proper divisors (92536713984).

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

41270786304 is a wasteful number, since it uses less digits than its factorization.

41270786304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 41270786304 in words is "forty-one billion, two hundred seventy million, seven hundred eighty-six thousand, three hundred four".