41408434760 has 512 divisors, whose sum is σ = 128755630080. Its totient is φ = 11590041600.

The previous prime is 41408434723. The next prime is 41408434763. The reversal of 41408434760 is 6743480414.

It is not an unprimeable number, because it can be changed into a prime (41408434763) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 157446389 + ... + 157446651.

It is an arithmetic number, because the mean of its divisors is an integer number (251475840).

Almost surely, 2^41408434760 is an apocalyptic number.

41408434760 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 41408434760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64377815040).

41408434760 is an abundant number, since it is smaller than the sum of its proper divisors (87347195320).

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

41408434760 is a wasteful number, since it uses less digits than its factorization.

41408434760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 41.

It can be divided in two parts, 414084 and 34760, that added together give a palindrome (448844).

The spelling of 41408434760 in words is "forty-one billion, four hundred eight million, four hundred thirty-four thousand, seven hundred sixty".