41449968000 has 768 divisors, whose sum is σ = 176539184640. Its totient is φ = 9468057600.

The previous prime is 41449967941. The next prime is 41449968019. The reversal of 41449968000 is 86994414.

41449968000 is a `hidden beast` number, since 41 + 449 + 96 + 80 + 0 + 0 = 666.

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

It is a congruent number.

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, 27215239 + ... + 27216761.

It is an arithmetic number, because the mean of its divisors is an integer number (229868730).

Almost surely, 2^41449968000 is an apocalyptic number.

41449968000 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 41449968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88269592320).

41449968000 is an abundant number, since it is smaller than the sum of its proper divisors (135089216640).

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

41449968000 is an equidigital number, since it uses as much as digits as its factorization.

41449968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 41449968000 in words is "forty-one billion, four hundred forty-nine million, nine hundred sixty-eight thousand".