342124105440 has 192 divisors, whose sum is σ = 1161057687552. Its totient is φ = 84181248000.

The previous prime is 342124105399. The next prime is 342124105447. The reversal of 342124105440 is 44501421243.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 342124105398 and 342124105407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342124105447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17780625 + ... + 17799855.

It is an arithmetic number, because the mean of its divisors is an integer number (6047175456).

Almost surely, 2^342124105440 is an apocalyptic number.

342124105440 is a gapful number since it is divisible by the number (30) 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 342124105440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580528843776).

342124105440 is an abundant number, since it is smaller than the sum of its proper divisors (818933582112).

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

342124105440 is a wasteful number, since it uses less digits than its factorization.

342124105440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22113 (or 22105 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 342124105440 its reverse (44501421243), we get a palindrome (386625526683).

The spelling of 342124105440 in words is "three hundred forty-two billion, one hundred twenty-four million, one hundred five thousand, four hundred forty".