41403416760 has 256 divisors, whose sum is σ = 139824921600. Its totient is φ = 10896615936.

The previous prime is 41403416741. The next prime is 41403416797. The reversal of 41403416760 is 6761430414.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51948682 + ... + 51949478.

It is an arithmetic number, because the mean of its divisors is an integer number (546191100).

Almost surely, 2^41403416760 is an apocalyptic number.

41403416760 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 41403416760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69912460800).

41403416760 is an abundant number, since it is smaller than the sum of its proper divisors (98421504840).

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

41403416760 is a wasteful number, since it uses less digits than its factorization.

41403416760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 41403416760 in words is "forty-one billion, four hundred three million, four hundred sixteen thousand, seven hundred sixty".