44355345440 has 384 divisors, whose sum is σ = 129565578240. Its totient is φ = 14019084288.

The previous prime is 44355345431. The next prime is 44355345449. The reversal of 44355345440 is 4454355344.

It is an interprime number because it is at equal distance from previous prime (44355345431) and next prime (44355345449).

It is not an unprimeable number, because it can be changed into a prime (44355345449) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 164889626 + ... + 164889894.

It is an arithmetic number, because the mean of its divisors is an integer number (337410360).

Almost surely, 2^44355345440 is an apocalyptic number.

44355345440 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 44355345440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64782789120).

44355345440 is an abundant number, since it is smaller than the sum of its proper divisors (85210232800).

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

44355345440 is a wasteful number, since it uses less digits than its factorization.

44355345440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 41.

The spelling of 44355345440 in words is "forty-four billion, three hundred fifty-five million, three hundred forty-five thousand, four hundred forty".