34042243402112 has 32 divisors (see below), whose sum is σ = 73983852851400. Its totient is φ = 15473747000320.

The previous prime is 34042243402073. The next prime is 34042243402151. The reversal of 34042243402112 is 21120434224043.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34042243402073) and next prime (34042243402151).

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×34042243402112² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12088863437 + ... + 12088866252.

Almost surely, 2^{34042243402112} is an apocalyptic number.

34042243402112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34042243402112 is an abundant number, since it is smaller than the sum of its proper divisors (39941609449288).

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

34042243402112 is a wasteful number, since it uses less digits than its factorization.

34042243402112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24177729714 (or 24177729702 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 34042243402112 its reverse (21120434224043), we get a palindrome (55162677626155).

The spelling of 34042243402112 in words is "thirty-four trillion, forty-two billion, two hundred forty-three million, four hundred two thousand, one hundred twelve".