44342162746400 has 144 divisors (see below), whose sum is σ = 110576980120320. Its totient is φ = 17355798528000.

The previous prime is 44342162746351. The next prime is 44342162746403. The reversal of 44342162746400 is 464726124344.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is not an unprimeable number, because it can be changed into a prime (44342162746403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180394781 + ... + 180640419.

It is an arithmetic number, because the mean of its divisors is an integer number (767895695280).

Almost surely, 2^{44342162746400} is an apocalyptic number.

44342162746400 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 44342162746400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55288490060160).

44342162746400 is an abundant number, since it is smaller than the sum of its proper divisors (66234817373920).

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

44342162746400 is a wasteful number, since it uses less digits than its factorization.

44342162746400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250507 (or 250494 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 47.

The spelling of 44342162746400 in words is "forty-four trillion, three hundred forty-two billion, one hundred sixty-two million, seven hundred forty-six thousand, four hundred".