4034121140000 has 480 divisors, whose sum is σ = 11734051101696. Its totient is φ = 1335559680000.

The previous prime is 4034121139933. The next prime is 4034121140009. The reversal of 4034121140000 is 411214304.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4034121140009) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 2938179314 + ... + 2938180686.

Almost surely, 2^{4034121140000} is an apocalyptic number.

4034121140000 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 4034121140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5867025550848).

4034121140000 is an abundant number, since it is smaller than the sum of its proper divisors (7699929961696).

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

4034121140000 is a wasteful number, since it uses less digits than its factorization.

4034121140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 2095 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 4034121140000 its reverse (411214304), we get a palindrome (4034532354304).

The spelling of 4034121140000 in words is "four trillion, thirty-four billion, one hundred twenty-one million, one hundred forty thousand".