4005141434400 has 432 divisors, whose sum is σ = 14021420384160. Its totient is φ = 990272102400.

The previous prime is 4005141434363. The next prime is 4005141434401. The reversal of 4005141434400 is 44341415004.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4005141434401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 100710520 + ... + 100750280.

It is an arithmetic number, because the mean of its divisors is an integer number (32456991630).

Almost surely, 2^{4005141434400} is an apocalyptic number.

4005141434400 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 4005141434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7010710192080).

4005141434400 is an abundant number, since it is smaller than the sum of its proper divisors (10016278949760).

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

4005141434400 is a wasteful number, since it uses less digits than its factorization.

4005141434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39897 (or 39837 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 4005141434400 its reverse (44341415004), we get a palindrome (4049482849404).

The spelling of 4005141434400 in words is "four trillion, five billion, one hundred forty-one million, four hundred thirty-four thousand, four hundred".