4072705134743 has 16 divisors (see below), whose sum is σ = 5042927450880. Its totient is φ = 3209135642496.

The previous prime is 4072705134737. The next prime is 4072705134791. The reversal of 4072705134743 is 3474315072704.

It is not a de Polignac number, because 4072705134743 - 2⁶ = 4072705134679 is a prime.

It is a super-3 number, since 3×4072705134743³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4072705130743) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 397953173 + ... + 397963406.

It is an arithmetic number, because the mean of its divisors is an integer number (315182965680).

Almost surely, 2^{4072705134743} is an apocalyptic number.

4072705134743 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

4072705134743 is a deficient number, since it is larger than the sum of its proper divisors (970222316137).

4072705134743 is a wasteful number, since it uses less digits than its factorization.

4072705134743 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795916646.

The product of its (nonzero) digits is 1975680, while the sum is 47.

The spelling of 4072705134743 in words is "four trillion, seventy-two billion, seven hundred five million, one hundred thirty-four thousand, seven hundred forty-three".