42014320000 has 320 divisors, whose sum is σ = 111463070400. Its totient is φ = 15724800000.

The previous prime is 42014319989. The next prime is 42014320037. The reversal of 42014320000 is 2341024.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 199119895 + ... + 199120105.

It is an arithmetic number, because the mean of its divisors is an integer number (348322095).

Almost surely, 2^42014320000 is an apocalyptic number.

42014320000 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 42014320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55731535200).

42014320000 is an abundant number, since it is smaller than the sum of its proper divisors (69448750400).

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

42014320000 is a wasteful number, since it uses less digits than its factorization.

42014320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 42014320000 its reverse (2341024), we get a palindrome (42016661024).

The spelling of 42014320000 in words is "forty-two billion, fourteen million, three hundred twenty thousand".