44468121600 has 936 divisors, whose sum is σ = 186650217312. Its totient is φ = 9909043200.

The previous prime is 44468121563. The next prime is 44468121611. The reversal of 44468121600 is 612186444.

It is a happy number.

44468121600 is a `hidden beast` number, since 4 + 4 + 46 + 8 + 1 + 2 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 393523144 + ... + 393523256.

Almost surely, 2^44468121600 is an apocalyptic number.

44468121600 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 44468121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93325108656).

44468121600 is an abundant number, since it is smaller than the sum of its proper divisors (142182095712).

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

44468121600 is a wasteful number, since it uses less digits than its factorization.

44468121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 44468121600 in words is "forty-four billion, four hundred sixty-eight million, one hundred twenty-one thousand, six hundred".