342493103040 has 896 divisors, whose sum is σ = 1324425738240. Its totient is φ = 73963929600.

The previous prime is 342493102979. The next prime is 342493103047. The reversal of 342493103040 is 40301394243.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 342493102992 and 342493103010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342493103047) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 450056260 + ... + 450057020.

Almost surely, 2^342493103040 is an apocalyptic number.

342493103040 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 342493103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662212869120).

342493103040 is an abundant number, since it is smaller than the sum of its proper divisors (981932635200).

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

342493103040 is a wasteful number, since it uses less digits than its factorization.

342493103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

Adding to 342493103040 its reverse (40301394243), we get a palindrome (382794497283).

The spelling of 342493103040 in words is "three hundred forty-two billion, four hundred ninety-three million, one hundred three thousand, forty".