44260112000 has 256 divisors, whose sum is σ = 125487442080. Its totient is φ = 15379660800.

The previous prime is 44260111993. The next prime is 44260112023. The reversal of 44260112000 is 21106244.

It can be written as a sum of positive squares in 16 ways, for example, as 2050624 + 44258061376 = 1432^2 + 210376^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3529742 + ... + 3542258.

Almost surely, 2^44260112000 is an apocalyptic number.

44260112000 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 44260112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62743721040).

44260112000 is an abundant number, since it is smaller than the sum of its proper divisors (81227330080).

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

44260112000 is a wasteful number, since it uses less digits than its factorization.

44260112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12576 (or 12554 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 44260112000 its reverse (21106244), we get a palindrome (44281218244).

The spelling of 44260112000 in words is "forty-four billion, two hundred sixty million, one hundred twelve thousand".