3414430146192 has 160 divisors (see below), whose sum is σ = 9599624834688. Its totient is φ = 1039510069248.

The previous prime is 3414430146139. The next prime is 3414430146241. The reversal of 3414430146192 is 2916410344143.

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, 41349298 + ... + 41431790.

Almost surely, 2^{3414430146192} 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 3414430146192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4799812417344).

3414430146192 is an abundant number, since it is smaller than the sum of its proper divisors (6185194688496).

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

3414430146192 is a wasteful number, since it uses less digits than its factorization.

3414430146192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83217 (or 83211 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 3414430146192 in words is "three trillion, four hundred fourteen billion, four hundred thirty million, one hundred forty-six thousand, one hundred ninety-two".