44346839040 has 1248 divisors, whose sum is σ = 194633886720. Its totient is φ = 9459597312.

The previous prime is 44346839023. The next prime is 44346839041. The reversal of 44346839040 is 4093864344.

It is a happy number.

44346839040 is a `hidden beast` number, since 443 + 4 + 6 + 83 + 90 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (44346839041) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 661893087 + ... + 661893153.

It is an arithmetic number, because the mean of its divisors is an integer number (155956640).

Almost surely, 2^44346839040 is an apocalyptic number.

44346839040 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 44346839040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97316943360).

44346839040 is an abundant number, since it is smaller than the sum of its proper divisors (150287047680).

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

44346839040 is an equidigital number, since it uses as much as digits as its factorization.

44346839040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 44346839040 in words is "forty-four billion, three hundred forty-six million, eight hundred thirty-nine thousand, forty".