44161414000 has 160 divisors (see below), whose sum is σ = 116700030720. Its totient is φ = 16029728000.

The previous prime is 44161413977. The next prime is 44161414001. The reversal of 44161414000 is 41416144.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44161414001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15024531 + ... + 15027469.

It is an arithmetic number, because the mean of its divisors is an integer number (729375192).

Almost surely, 2^44161414000 is an apocalyptic number.

44161414000 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 44161414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58350015360).

44161414000 is an abundant number, since it is smaller than the sum of its proper divisors (72538616720).

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

44161414000 is a wasteful number, since it uses less digits than its factorization.

44161414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3656 (or 3640 counting only the distinct ones).

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

The spelling of 44161414000 in words is "forty-four billion, one hundred sixty-one million, four hundred fourteen thousand".