79341444000 has 2016 divisors, whose sum is σ = 377431052544. Its totient is φ = 16012339200.

The previous prime is 79341443999. The next prime is 79341444029. The reversal of 79341444000 is 44414397.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 3449627989 + ... + 3449628011.

It is an arithmetic number, because the mean of its divisors is an integer number (187217784).

Almost surely, 2^79341444000 is an apocalyptic number.

79341444000 is a gapful number since it is divisible by the number (70) 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 79341444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188715526272).

79341444000 is an abundant number, since it is smaller than the sum of its proper divisors (298089608544).

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

79341444000 is a wasteful number, since it uses less digits than its factorization.

79341444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 79341444000 its reverse (44414397), we get a palindrome (79385858397).

The spelling of 79341444000 in words is "seventy-nine billion, three hundred forty-one million, four hundred forty-four thousand".