42014427400 has 96 divisors (see below), whose sum is σ = 107560392480. Its totient is φ = 15135104000.

The previous prime is 42014427397. The next prime is 42014427409. The reversal of 42014427400 is 472441024.

It is not an unprimeable number, because it can be changed into a prime (42014427409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146160 + ... + 324640.

It is an arithmetic number, because the mean of its divisors is an integer number (1120420755).

Almost surely, 2^42014427400 is an apocalyptic number.

42014427400 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 42014427400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53780196240).

42014427400 is an abundant number, since it is smaller than the sum of its proper divisors (65545965080).

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

42014427400 is a wasteful number, since it uses less digits than its factorization.

42014427400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178615 (or 178606 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 28.

Adding to 42014427400 its reverse (472441024), we get a palindrome (42486868424).

The spelling of 42014427400 in words is "forty-two billion, fourteen million, four hundred twenty-seven thousand, four hundred".