44826449382000 has 1280 divisors, whose sum is σ = 191310835322880. Its totient is φ = 9889689600000.

The previous prime is 44826449381993. The next prime is 44826449382059. The reversal of 44826449382000 is 28394462844.

It is a happy number.

44826449382000 is a `hidden beast` number, since 44 + 82 + 6 + 449 + 3 + 82 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 548221120 + ... + 548302880.

It is an arithmetic number, because the mean of its divisors is an integer number (149461590096).

Almost surely, 2^{44826449382000} is an apocalyptic number.

44826449382000 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 44826449382000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95655417661440).

44826449382000 is an abundant number, since it is smaller than the sum of its proper divisors (146484385940880).

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

44826449382000 is a wasteful number, since it uses less digits than its factorization.

44826449382000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81888 (or 81866 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 44826449382000 in words is "forty-four trillion, eight hundred twenty-six billion, four hundred forty-nine million, three hundred eighty-two thousand".