41707031328 has 384 divisors, whose sum is σ = 136442880000. Its totient is φ = 12317184000.

The previous prime is 41707031321. The next prime is 41707031351. The reversal of 41707031328 is 82313070714.

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

It is a junction number, because it is equal to n+sod(n) for n = 41707031292 and 41707031301.

It is not an unprimeable number, because it can be changed into a prime (41707031321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55534953 + ... + 55535703.

It is an arithmetic number, because the mean of its divisors is an integer number (355320000).

Almost surely, 2^41707031328 is an apocalyptic number.

41707031328 is a gapful number since it is divisible by the number (48) 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 41707031328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68221440000).

41707031328 is an abundant number, since it is smaller than the sum of its proper divisors (94735848672).

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

41707031328 is a wasteful number, since it uses less digits than its factorization.

41707031328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 41707031328 in words is "forty-one billion, seven hundred seven million, thirty-one thousand, three hundred twenty-eight".