4000032000000 has 2016 divisors, whose sum is σ = 16469367314400. Its totient is φ = 928972800000.

The previous prime is 4000031999969. The next prime is 4000032000049. The reversal of 4000032000000 is 2300004.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 93023999979 + ... + 93024000021.

It is an arithmetic number, because the mean of its divisors is an integer number (8169329025).

Almost surely, 2^{4000032000000} is an apocalyptic number.

4000032000000 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 4000032000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8234683657200).

4000032000000 is an abundant number, since it is smaller than the sum of its proper divisors (12469335314400).

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

4000032000000 is an equidigital number, since it uses as much as digits as its factorization.

4000032000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

Adding to 4000032000000 its reverse (2300004), we get a palindrome (4000034300004).

The spelling of 4000032000000 in words is "four trillion, thirty-two million", and thus it is an aban number and an eban number.