342553292640 has 216 divisors, whose sum is σ = 1265801191200. Its totient is φ = 84320750592.

The previous prime is 342553292639. The next prime is 342553292677. The reversal of 342553292640 is 46292355243.

342553292640 is a `hidden beast` number, since 3 + 4 + 2 + 553 + 2 + 92 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 460440 + ... + 947159.

It is an arithmetic number, because the mean of its divisors is an integer number (5860190700).

Almost surely, 2^342553292640 is an apocalyptic number.

342553292640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

342553292640 is an abundant number, since it is smaller than the sum of its proper divisors (923247898560).

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

342553292640 is a wasteful number, since it uses less digits than its factorization.

342553292640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407646 (or 1407622 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 342553292640 in words is "three hundred forty-two billion, five hundred fifty-three million, two hundred ninety-two thousand, six hundred forty".