4110401424400 has 120 divisors (see below), whose sum is σ = 10106280235040. Its totient is φ = 1605704325120.

The previous prime is 4110401424331. The next prime is 4110401424433. The reversal of 4110401424400 is 44241040114.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189068731 + ... + 189090469.

Almost surely, 2^{4110401424400} is an apocalyptic number.

4110401424400 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 4110401424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5053140117520).

4110401424400 is an abundant number, since it is smaller than the sum of its proper divisors (5995878810640).

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

4110401424400 is a wasteful number, since it uses less digits than its factorization.

4110401424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32793 (or 32782 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 4110401424400 its reverse (44241040114), we get a palindrome (4154642464514).

The spelling of 4110401424400 in words is "four trillion, one hundred ten billion, four hundred one million, four hundred twenty-four thousand, four hundred".