4000411532000 has 192 divisors, whose sum is σ = 10694227025664. Its totient is φ = 1461845606400.

The previous prime is 4000411531891. The next prime is 4000411532003. The reversal of 4000411532000 is 2351140004.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000411532003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4647449 + ... + 5440551.

It is an arithmetic number, because the mean of its divisors is an integer number (55699099092).

Almost surely, 2^{4000411532000} is an apocalyptic number.

4000411532000 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 4000411532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5347113512832).

4000411532000 is an abundant number, since it is smaller than the sum of its proper divisors (6693815493664).

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

4000411532000 is a wasteful number, since it uses less digits than its factorization.

4000411532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793238 (or 793220 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 4000411532000 its reverse (2351140004), we get a palindrome (4002762672004).

The spelling of 4000411532000 in words is "four trillion, four hundred eleven million, five hundred thirty-two thousand".