44401950720 has 252 divisors, whose sum is σ = 154090266876. Its totient is φ = 11827937280.

The previous prime is 44401950713. The next prime is 44401950757. The reversal of 44401950720 is 2705910444.

It is a happy number.

44401950720 is a `hidden beast` number, since 4 + 440 + 195 + 0 + 7 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21743271936 + 22658678784 = 147456^2 + 150528^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47185450 + ... + 47186390.

It is an arithmetic number, because the mean of its divisors is an integer number (611469313).

Almost surely, 2^44401950720 is an apocalyptic number.

44401950720 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 44401950720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77045133438).

44401950720 is an abundant number, since it is smaller than the sum of its proper divisors (109688316156).

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

44401950720 is an frugal number, since it uses more digits than its factorization.

44401950720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 44401950720 in words is "forty-four billion, four hundred one million, nine hundred fifty thousand, seven hundred twenty".