4145441102400 has 672 divisors, whose sum is σ = 15105683174400. Its totient is φ = 988930252800.

The previous prime is 4145441102323. The next prime is 4145441102401. The reversal of 4145441102400 is 42011445414.

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 (4145441102401) 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, 261385671 + ... + 261401529.

It is an arithmetic number, because the mean of its divisors is an integer number (22478695200).

Almost surely, 2^{4145441102400} is an apocalyptic number.

4145441102400 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 4145441102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7552841587200).

4145441102400 is an abundant number, since it is smaller than the sum of its proper divisors (10960242072000).

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

4145441102400 is a wasteful number, since it uses less digits than its factorization.

4145441102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16027 (or 16012 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 4145441102400 its reverse (42011445414), we get a palindrome (4187452547814).

The spelling of 4145441102400 in words is "four trillion, one hundred forty-five billion, four hundred forty-one million, one hundred two thousand, four hundred".