44312144012400 has 480 divisors, whose sum is σ = 162097446813696. Its totient is φ = 10249384320000.

The previous prime is 44312144012359. The next prime is 44312144012443. The reversal of 44312144012400 is 421044121344.

It is a happy number.

It is a super-2 number, since 2×44312144012400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28290597 + ... + 29815803.

Almost surely, 2^{44312144012400} is an apocalyptic number.

44312144012400 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 44312144012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81048723406848).

44312144012400 is an abundant number, since it is smaller than the sum of its proper divisors (117785302801296).

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

44312144012400 is a wasteful number, since it uses less digits than its factorization.

44312144012400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525341 (or 1525330 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 44312144012400 its reverse (421044121344), we get a palindrome (44733188133744).

The spelling of 44312144012400 in words is "forty-four trillion, three hundred twelve billion, one hundred forty-four million, twelve thousand, four hundred".