41461096320 has 512 divisors, whose sum is σ = 173247897600. Its totient is φ = 9170288640.

The previous prime is 41461096309. The next prime is 41461096331. The reversal of 41461096320 is 2369016414.

41461096320 is a `hidden beast` number, since 4 + 1 + 4 + 6 + 10 + 9 + 632 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (41461096309) and next prime (41461096331).

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, 3744232 + ... + 3755288.

It is an arithmetic number, because the mean of its divisors is an integer number (338374800).

Almost surely, 2^41461096320 is an apocalyptic number.

41461096320 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 41461096320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86623948800).

41461096320 is an abundant number, since it is smaller than the sum of its proper divisors (131786801280).

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

41461096320 is a wasteful number, since it uses less digits than its factorization.

41461096320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11123 (or 11105 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 41461096320 in words is "forty-one billion, four hundred sixty-one million, ninety-six thousand, three hundred twenty".