4134141312 has 64 divisors (see below), whose sum is σ = 12550080000. Its totient is φ = 1181182464.

The previous prime is 4134141301. The next prime is 4134141331. The reversal of 4134141312 is 2131414314.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×4134141312² = 34182248775170162688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 766312 + ... + 771687.

It is an arithmetic number, because the mean of its divisors is an integer number (196095000).

Almost surely, 2^4134141312 is an apocalyptic number.

4134141312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4134141312 is an abundant number, since it is smaller than the sum of its proper divisors (8415938688).

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

4134141312 is a wasteful number, since it uses less digits than its factorization.

4134141312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538023 (or 1538011 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 4134141312 is about 64297.2885275888. The cubic root of 4134141312 is about 1604.9509807333.

Adding to 4134141312 its reverse (2131414314), we get a palindrome (6265555626).

The spelling of 4134141312 in words is "four billion, one hundred thirty-four million, one hundred forty-one thousand, three hundred twelve".