44112663344400 has 1440 divisors, whose sum is σ = 171835641815040. Its totient is φ = 9638371491840.

The previous prime is 44112663344389. The next prime is 44112663344401. The reversal of 44112663344400 is 444336621144.

It is a happy number.

It is a super-2 number, since 2×44112663344400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (44112663344401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 21177465759 + ... + 21177467841.

It is an arithmetic number, because the mean of its divisors is an integer number (119330306816).

Almost surely, 2^{44112663344400} is an apocalyptic number.

44112663344400 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 44112663344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85917820907520).

44112663344400 is an abundant number, since it is smaller than the sum of its proper divisors (127722978470640).

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

44112663344400 is a wasteful number, since it uses less digits than its factorization.

44112663344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2341 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

Adding to 44112663344400 its reverse (444336621144), we get a palindrome (44556999965544).

The spelling of 44112663344400 in words is "forty-four trillion, one hundred twelve billion, six hundred sixty-three million, three hundred forty-four thousand, four hundred".