34142237314460 has 96 divisors (see below), whose sum is σ = 79364575180800. Its totient is φ = 12233493987840.

The previous prime is 34142237314459. The next prime is 34142237314519. The reversal of 34142237314460 is 6441373224143.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15663281 + ... + 17709399.

It is an arithmetic number, because the mean of its divisors is an integer number (826714324800).

Almost surely, 2^{34142237314460} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34142237314460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39682287590400).

34142237314460 is an abundant number, since it is smaller than the sum of its proper divisors (45222337866340).

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

34142237314460 is a wasteful number, since it uses less digits than its factorization.

34142237314460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047251 (or 2047249 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 44.

The spelling of 34142237314460 in words is "thirty-four trillion, one hundred forty-two billion, two hundred thirty-seven million, three hundred fourteen thousand, four hundred sixty".