44477803440 has 480 divisors, whose sum is σ = 178225557120. Its totient is φ = 9725313024.

The previous prime is 44477803429. The next prime is 44477803451. The reversal of 44477803440 is 4430877444.

44477803440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (44477803429) and next prime (44477803451).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16514734 + ... + 16517426.

It is an arithmetic number, because the mean of its divisors is an integer number (371303244).

Almost surely, 2^44477803440 is an apocalyptic number.

44477803440 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 44477803440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89112778560).

44477803440 is an abundant number, since it is smaller than the sum of its proper divisors (133747753680).

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

44477803440 is a wasteful number, since it uses less digits than its factorization.

44477803440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2861 (or 2852 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 45.

The spelling of 44477803440 in words is "forty-four billion, four hundred seventy-seven million, eight hundred three thousand, four hundred forty".