34142233440 has 96 divisors (see below), whose sum is σ = 122912052480. Its totient is φ = 7803938304.

The previous prime is 34142233429. The next prime is 34142233511. The reversal of 34142233440 is 4433224143.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 34142233398 and 34142233407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5077330 + ... + 5084049.

It is an arithmetic number, because the mean of its divisors is an integer number (1280333880).

Almost surely, 2^34142233440 is an apocalyptic number.

34142233440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34142233440 is an abundant number, since it is smaller than the sum of its proper divisors (88769819040).

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

34142233440 is a wasteful number, since it uses less digits than its factorization.

34142233440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10161404 (or 10161396 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 34142233440 its reverse (4433224143), we get a palindrome (38575457583).

The spelling of 34142233440 in words is "thirty-four billion, one hundred forty-two million, two hundred thirty-three thousand, four hundred forty".