44161014400 has 192 divisors, whose sum is σ = 113205924000. Its totient is φ = 17002065920.

The previous prime is 44161014361. The next prime is 44161014407. The reversal of 44161014400 is 441016144.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (44161014407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43337091 + ... + 43338109.

Almost surely, 2^44161014400 is an apocalyptic number.

44161014400 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 44161014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56602962000).

44161014400 is an abundant number, since it is smaller than the sum of its proper divisors (69044909600).

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

44161014400 is a wasteful number, since it uses less digits than its factorization.

44161014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The spelling of 44161014400 in words is "forty-four billion, one hundred sixty-one million, fourteen thousand, four hundred".