34142301433440 has 1152 divisors, whose sum is σ = 125018028495360. Its totient is φ = 8794176749568.

The previous prime is 34142301433381. The next prime is 34142301433489. The reversal of 34142301433440 is 4433410324143.

34142301433440 is a `hidden beast` number, since 3 + 4 + 1 + 4 + 2 + 301 + 4 + 3 + 344 + 0 = 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 = 34142301433395 and 34142301433404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 98392799347 + ... + 98392799693.

It is an arithmetic number, because the mean of its divisors is an integer number (108522594180).

Almost surely, 2^{34142301433440} is an apocalyptic number.

34142301433440 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 34142301433440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62509014247680).

34142301433440 is an abundant number, since it is smaller than the sum of its proper divisors (90875727061920).

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

34142301433440 is a wasteful number, since it uses less digits than its factorization.

34142301433440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 34142301433440 its reverse (4433410324143), we get a palindrome (38575711757583).

The spelling of 34142301433440 in words is "thirty-four trillion, one hundred forty-two billion, three hundred one million, four hundred thirty-three thousand, four hundred forty".