4074004034000 has 80 divisors (see below), whose sum is σ = 9853412287680. Its totient is φ = 1629192924800.

The previous prime is 4074004033987. The next prime is 4074004034011. The reversal of 4074004034000 is 4304004704.

It is a tau number, because it is divible by the number of its divisors (80).

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, 7784579 + ... + 8291421.

It is an arithmetic number, because the mean of its divisors is an integer number (123167653596).

Almost surely, 2^{4074004034000} is an apocalyptic number.

4074004034000 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 4074004034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4926706143840).

4074004034000 is an abundant number, since it is smaller than the sum of its proper divisors (5779408253680).

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

4074004034000 is a wasteful number, since it uses less digits than its factorization.

4074004034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510885 (or 510869 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 26.

Adding to 4074004034000 its reverse (4304004704), we get a palindrome (4078308038704).

The spelling of 4074004034000 in words is "four trillion, seventy-four billion, four million, thirty-four thousand".