44331978240 has 640 divisors, whose sum is σ = 173238912000. Its totient is φ = 10656645120.

The previous prime is 44331978221. The next prime is 44331978241. The reversal of 44331978240 is 4287913344.

44331978240 is a `hidden beast` number, since 4 + 4 + 331 + 9 + 78 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44331978241) 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, 151303534 + ... + 151303826.

It is an arithmetic number, because the mean of its divisors is an integer number (270685800).

Almost surely, 2^44331978240 is an apocalyptic number.

44331978240 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 44331978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86619456000).

44331978240 is an abundant number, since it is smaller than the sum of its proper divisors (128906933760).

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

44331978240 is a wasteful number, since it uses less digits than its factorization.

44331978240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 44331978240 in words is "forty-four billion, three hundred thirty-one million, nine hundred seventy-eight thousand, two hundred forty".