44448848840400 has 240 divisors, whose sum is σ = 146395533919488. Its totient is φ = 11521253376000.

The previous prime is 44448848840339. The next prime is 44448848840401. The reversal of 44448848840400 is 404884884444.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44448848840401) 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, 11666352 + ... + 15000048.

Almost surely, 2^{44448848840400} is an apocalyptic number.

44448848840400 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 44448848840400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73197766959744).

44448848840400 is an abundant number, since it is smaller than the sum of its proper divisors (101946685079088).

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

44448848840400 is a wasteful number, since it uses less digits than its factorization.

44448848840400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3334030 (or 3334019 counting only the distinct ones).

The product of its (nonzero) digits is 67108864, while the sum is 60.

The spelling of 44448848840400 in words is "forty-four trillion, four hundred forty-eight billion, eight hundred forty-eight million, eight hundred forty thousand, four hundred".