42223014311400 has 576 divisors, whose sum is σ = 163637499654720. Its totient is φ = 9664120627200.

The previous prime is 42223014311369. The next prime is 42223014311419. The reversal of 42223014311400 is 411341032224.

42223014311400 is a `hidden beast` number, since 4 + 2 + 2 + 2 + 301 + 4 + 311 + 40 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32377995 + ... + 33656805.

It is an arithmetic number, because the mean of its divisors is an integer number (284092881345).

Almost surely, 2^{42223014311400} is an apocalyptic number.

42223014311400 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 42223014311400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81818749827360).

42223014311400 is an abundant number, since it is smaller than the sum of its proper divisors (121414485343320).

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

42223014311400 is a wasteful number, since it uses less digits than its factorization.

42223014311400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278946 (or 1278934 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 42223014311400 its reverse (411341032224), we get a palindrome (42634355343624).

The spelling of 42223014311400 in words is "forty-two trillion, two hundred twenty-three billion, fourteen million, three hundred eleven thousand, four hundred".