44294973408 has 288 divisors, whose sum is σ = 146023637760. Its totient is φ = 12475607040.

The previous prime is 44294973403. The next prime is 44294973409. The reversal of 44294973408 is 80437949244.

44294973408 is a `hidden beast` number, since 4 + 4 + 294 + 9 + 7 + 340 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×44294973408³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44294973403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47272716 + ... + 47273652.

It is an arithmetic number, because the mean of its divisors is an integer number (507026520).

Almost surely, 2^44294973408 is an apocalyptic number.

44294973408 is a gapful number since it is divisible by the number (48) 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 44294973408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73011818880).

44294973408 is an abundant number, since it is smaller than the sum of its proper divisors (101728664352).

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

44294973408 is a wasteful number, since it uses less digits than its factorization.

44294973408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 44294973408 in words is "forty-four billion, two hundred ninety-four million, nine hundred seventy-three thousand, four hundred eight".