34142354040 has 128 divisors (see below), whose sum is σ = 103945017600. Its totient is φ = 8969978880.

The previous prime is 34142354033. The next prime is 34142354041. The reversal of 34142354040 is 4045324143.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34142353989 and 34142354007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34142354041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11307651 + ... + 11310669.

It is an arithmetic number, because the mean of its divisors is an integer number (812070450).

Almost surely, 2^34142354040 is an apocalyptic number.

34142354040 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 34142354040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51972508800).

34142354040 is an abundant number, since it is smaller than the sum of its proper divisors (69802663560).

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

34142354040 is a wasteful number, since it uses less digits than its factorization.

34142354040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4397 (or 4393 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 34142354040 its reverse (4045324143), we get a palindrome (38187678183).

The spelling of 34142354040 in words is "thirty-four billion, one hundred forty-two million, three hundred fifty-four thousand, forty".