4032104114000 has 160 divisors (see below), whose sum is σ = 10264839436800. Its totient is φ = 1527646579200.

The previous prime is 4032104113979. The next prime is 4032104114039. The reversal of 4032104114000 is 4114012304.

It is a super-2 number, since 2×4032104114000² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294759161 + ... + 294772839.

It is an arithmetic number, because the mean of its divisors is an integer number (64155246480).

Almost surely, 2^{4032104114000} is an apocalyptic number.

4032104114000 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 4032104114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5132419718400).

4032104114000 is an abundant number, since it is smaller than the sum of its proper divisors (6232735322800).

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

4032104114000 is a wasteful number, since it uses less digits than its factorization.

4032104114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21478 (or 21462 counting only the distinct ones).

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

Adding to 4032104114000 its reverse (4114012304), we get a palindrome (4036218126304).

The spelling of 4032104114000 in words is "four trillion, thirty-two billion, one hundred four million, one hundred fourteen thousand".