342405433440 has 192 divisors, whose sum is σ = 1369621854720. Its totient is φ = 78264092160.

The previous prime is 342405433439. The next prime is 342405433499. The reversal of 342405433440 is 44334504243.

342405433440 is a `hidden beast` number, since 3 + 4 + 2 + 40 + 543 + 34 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 342405433395 and 342405433404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5631226 + ... + 5691705.

It is an arithmetic number, because the mean of its divisors is an integer number (7133447160).

Almost surely, 2^342405433440 is an apocalyptic number.

342405433440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

342405433440 is an abundant number, since it is smaller than the sum of its proper divisors (1027216421280).

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

342405433440 is a wasteful number, since it uses less digits than its factorization.

342405433440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11322962 (or 11322948 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 36.

Adding to 342405433440 its reverse (44334504243), we get a palindrome (386739937683).

The spelling of 342405433440 in words is "three hundred forty-two billion, four hundred five million, four hundred thirty-three thousand, four hundred forty".