342829117440 has 1040 divisors, whose sum is σ = 1320159852000. Its totient is φ = 84849721344.

The previous prime is 342829117403. The next prime is 342829117453. The reversal of 342829117440 is 44711928243.

342829117440 is a `hidden beast` number, since 3 + 42 + 82 + 91 + 1 + 7 + 440 = 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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2300866486 + ... + 2300866634.

Almost surely, 2^342829117440 is an apocalyptic number.

342829117440 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 342829117440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660079926000).

342829117440 is an abundant number, since it is smaller than the sum of its proper divisors (977330734560).

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

342829117440 is a wasteful number, since it uses less digits than its factorization.

342829117440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 342829117440 in words is "three hundred forty-two billion, eight hundred twenty-nine million, one hundred seventeen thousand, four hundred forty".