342022012321400 has 192 divisors, whose sum is σ = 822531367956480. Its totient is φ = 132125132620800.

The previous prime is 342022012321393. The next prime is 342022012321433. The reversal of 342022012321400 is 4123210220243.

It is a super-3 number, since 3×342022012321400³ (a number of 45 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 342022012321400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6954893612 + ... + 6954942788.

It is an arithmetic number, because the mean of its divisors is an integer number (4284017541440).

Almost surely, 2^{342022012321400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342022012321400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411265683978240).

342022012321400 is an abundant number, since it is smaller than the sum of its proper divisors (480509355635080).

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

342022012321400 is a wasteful number, since it uses less digits than its factorization.

342022012321400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51494 (or 51485 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 342022012321400 its reverse (4123210220243), we get a palindrome (346145222541643).

The spelling of 342022012321400 in words is "three hundred forty-two trillion, twenty-two billion, twelve million, three hundred twenty-one thousand, four hundred".