41728896000 has 1056 divisors, whose sum is σ = 170370008640. Its totient is φ = 9732096000.

The previous prime is 41728895993. The next prime is 41728896017. The reversal of 41728896000 is 69882714.

41728896000 is a `hidden beast` number, since 4 + 17 + 28 + 8 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×41728896000² (a number of 22 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 468863956 + ... + 468864044.

Almost surely, 2^41728896000 is an apocalyptic number.

41728896000 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 41728896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85185004320).

41728896000 is an abundant number, since it is smaller than the sum of its proper divisors (128641112640).

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

41728896000 is a wasteful number, since it uses less digits than its factorization.

41728896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 41728896000 in words is "forty-one billion, seven hundred twenty-eight million, eight hundred ninety-six thousand".