44268456960 has 2112 divisors, whose sum is σ = 216307832832. Its totient is φ = 8408530944.

The previous prime is 44268456913. The next prime is 44268456989. The reversal of 44268456960 is 6965486244.

44268456960 is a `hidden beast` number, since 4 + 42 + 68 + 456 + 96 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 44268456897 and 44268456906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1924715509 + ... + 1924715531.

Almost surely, 2^44268456960 is an apocalyptic number.

44268456960 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 44268456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108153916416).

44268456960 is an abundant number, since it is smaller than the sum of its proper divisors (172039375872).

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

44268456960 is a wasteful number, since it uses less digits than its factorization.

44268456960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 44268456960 in words is "forty-four billion, two hundred sixty-eight million, four hundred fifty-six thousand, nine hundred sixty".