44477046720 has 336 divisors, whose sum is σ = 160403023872. Its totient is φ = 11290245120.

The previous prime is 44477046683. The next prime is 44477046727. The reversal of 44477046720 is 2764077444.

44477046720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (44477046727) 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, 14770015 + ... + 14773025.

It is an arithmetic number, because the mean of its divisors is an integer number (477389952).

Almost surely, 2^44477046720 is an apocalyptic number.

44477046720 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 44477046720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80201511936).

44477046720 is an abundant number, since it is smaller than the sum of its proper divisors (115925977152).

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

44477046720 is a wasteful number, since it uses less digits than its factorization.

44477046720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3280 (or 3267 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 45.

The spelling of 44477046720 in words is "forty-four billion, four hundred seventy-seven million, forty-six thousand, seven hundred twenty".