42012201400 has 192 divisors, whose sum is σ = 109421121600. Its totient is φ = 14894530560.

The previous prime is 42012201397. The next prime is 42012201401. The reversal of 42012201400 is 410221024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42012201401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14550757 + ... + 14553643.

It is an arithmetic number, because the mean of its divisors is an integer number (569901675).

Almost surely, 2^42012201400 is an apocalyptic number.

42012201400 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 42012201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54710560800).

42012201400 is an abundant number, since it is smaller than the sum of its proper divisors (67408920200).

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

42012201400 is a wasteful number, since it uses less digits than its factorization.

42012201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3138 (or 3129 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 42012201400 its reverse (410221024), we get a palindrome (42422422424).

The spelling of 42012201400 in words is "forty-two billion, twelve million, two hundred one thousand, four hundred".