4032041200000 has 768 divisors, whose sum is σ = 11372144636160. Its totient is φ = 1411200000000.

The previous prime is 4032041199983. The next prime is 4032041200007. The reversal of 4032041200000 is 21402304.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4032041200007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19109199895 + ... + 19109200105.

It is an arithmetic number, because the mean of its divisors is an integer number (14807479995).

Almost surely, 2^{4032041200000} is an apocalyptic number.

4032041200000 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 4032041200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5686072318080).

4032041200000 is an abundant number, since it is smaller than the sum of its proper divisors (7340103436160).

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

4032041200000 is a wasteful number, since it uses less digits than its factorization.

4032041200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 4032041200000 its reverse (21402304), we get a palindrome (4032062602304).

The spelling of 4032041200000 in words is "four trillion, thirty-two billion, forty-one million, two hundred thousand".