41409688320 has 2592 divisors, whose sum is σ = 213740916480. Its totient is φ = 7524679680.

The previous prime is 41409688297. The next prime is 41409688343. The reversal of 41409688320 is 2388690414.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (41409688297) and next prime (41409688343).

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2179457271 + ... + 2179457289.

Almost surely, 2^41409688320 is an apocalyptic number.

41409688320 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 41409688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106870458240).

41409688320 is an abundant number, since it is smaller than the sum of its proper divisors (172331228160).

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

41409688320 is a wasteful number, since it uses less digits than its factorization.

41409688320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 41409688320 in words is "forty-one billion, four hundred nine million, six hundred eighty-eight thousand, three hundred twenty".