4000734103405 has 16 divisors (see below), whose sum is σ = 5170871193264. Its totient is φ = 2953992983040.

The previous prime is 4000734103369. The next prime is 4000734103453. The reversal of 4000734103405 is 5043014370004.

It can be written as a sum of positive squares in 8 ways, for example, as 52080260521 + 3948653842884 = 228211^2 + 1987122^2 .

It is not a de Polignac number, because 4000734103405 - 2¹³ = 4000734095213 is a prime.

It is a super-2 number, since 2×4000734103405² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3627474 + ... + 4600003.

It is an arithmetic number, because the mean of its divisors is an integer number (323179449579).

Almost surely, 2^{4000734103405} is an apocalyptic number.

It is an amenable number.

4000734103405 is a deficient number, since it is larger than the sum of its proper divisors (1170137089859).

4000734103405 is a wasteful number, since it uses less digits than its factorization.

4000734103405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8234976.

The product of its (nonzero) digits is 20160, while the sum is 31.

Adding to 4000734103405 its reverse (5043014370004), we get a palindrome (9043748473409).

The spelling of 4000734103405 in words is "four trillion, seven hundred thirty-four million, one hundred three thousand, four hundred five".