41907394144 has 384 divisors, whose sum is σ = 114542346240. Its totient is φ = 14592614400.

The previous prime is 41907394141. The next prime is 41907394181. The reversal of 41907394144 is 44149370914.

It is a junction number, because it is equal to n+sod(n) for n = 41907394094 and 41907394103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41907394141) 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 63 ways as a sum of consecutive naturals, for example, 76612879 + ... + 76613425.

It is an arithmetic number, because the mean of its divisors is an integer number (298287360).

Almost surely, 2^41907394144 is an apocalyptic number.

41907394144 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 41907394144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57271173120).

41907394144 is an abundant number, since it is smaller than the sum of its proper divisors (72634952096).

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

41907394144 is a wasteful number, since it uses less digits than its factorization.

41907394144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 41907394144 in words is "forty-one billion, nine hundred seven million, three hundred ninety-four thousand, one hundred forty-four".