44278640640 has 624 divisors, whose sum is σ = 175170498048. Its totient is φ = 10248781824.

The previous prime is 44278640621. The next prime is 44278640641. The reversal of 44278640640 is 4604687244.

It is a tau number, because it is divible by the number of its divisors (624).

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 (44278640641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40734177 + ... + 40735263.

It is an arithmetic number, because the mean of its divisors is an integer number (280721952).

Almost surely, 2^44278640640 is an apocalyptic number.

44278640640 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 44278640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87585249024).

44278640640 is an abundant number, since it is smaller than the sum of its proper divisors (130891857408).

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

44278640640 is a wasteful number, since it uses less digits than its factorization.

44278640640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 44278640640 in words is "forty-four billion, two hundred seventy-eight million, six hundred forty thousand, six hundred forty".