4034143233120 has 768 divisors, whose sum is σ = 17203142154240. Its totient is φ = 773770567680.

The previous prime is 4034143233103. The next prime is 4034143233287. The reversal of 4034143233120 is 213323414304.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 58103386 + ... + 58172774.

It is an arithmetic number, because the mean of its divisors is an integer number (22399924680).

Almost surely, 2^{4034143233120} is an apocalyptic number.

4034143233120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4034143233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8601571077120).

4034143233120 is an abundant number, since it is smaller than the sum of its proper divisors (13168998921120).

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

4034143233120 is a wasteful number, since it uses less digits than its factorization.

4034143233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69460 (or 69430 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 4034143233120 its reverse (213323414304), we get a palindrome (4247466647424).

The spelling of 4034143233120 in words is "four trillion, thirty-four billion, one hundred forty-three million, two hundred thirty-three thousand, one hundred twenty".