4132145311434 has 64 divisors (see below), whose sum is σ = 10494871142400. Its totient is φ = 1180552888944.

The previous prime is 4132145311421. The next prime is 4132145311447. The reversal of 4132145311434 is 4341135412314.

4132145311434 is a `hidden beast` number, since 4 + 1 + 3 + 214 + 5 + 3 + 1 + 1 + 434 = 666.

4132145311434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4132145311421) and next prime (4132145311447).

It is a super-2 number, since 2×4132145311434² (a number of 26 digits) contains 22 as substring.

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, 7446007 + ... + 7981685.

It is an arithmetic number, because the mean of its divisors is an integer number (163982361600).

Almost surely, 2^{4132145311434} is an apocalyptic number.

4132145311434 is an abundant number, since it is smaller than the sum of its proper divisors (6362725830966).

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

4132145311434 is a wasteful number, since it uses less digits than its factorization.

4132145311434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556104 (or 556098 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The spelling of 4132145311434 in words is "four trillion, one hundred thirty-two billion, one hundred forty-five million, three hundred eleven thousand, four hundred thirty-four".