342203927040 has 800 divisors, whose sum is σ = 1265200896960. Its totient is φ = 88363892736.

The previous prime is 342203927003. The next prime is 342203927147. The reversal of 342203927040 is 40729302243.

It is a happy number.

342203927040 is a `hidden beast` number, since 3 + 4 + 220 + 392 + 7 + 0 + 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 = 342203926986 and 342203927004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1015441752 + ... + 1015442088.

Almost surely, 2^342203927040 is an apocalyptic number.

342203927040 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 342203927040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632600448480).

342203927040 is an abundant number, since it is smaller than the sum of its proper divisors (922996969920).

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

342203927040 is an equidigital number, since it uses as much as digits as its factorization.

342203927040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 342203927040 in words is "three hundred forty-two billion, two hundred three million, nine hundred twenty-seven thousand, forty".