4400102120400 has 600 divisors, whose sum is σ = 18112970437760. Its totient is φ = 1002092497920.

The previous prime is 4400102120377. The next prime is 4400102120431. The reversal of 4400102120400 is 40212010044.

4400102120400 is a `hidden beast` number, since 4 + 40 + 0 + 10 + 212 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 62788581 + ... + 62858619.

Almost surely, 2^{4400102120400} is an apocalyptic number.

4400102120400 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 4400102120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9056485218880).

4400102120400 is an abundant number, since it is smaller than the sum of its proper divisors (13712868317360).

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

4400102120400 is a wasteful number, since it uses less digits than its factorization.

4400102120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70353 (or 70333 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 4400102120400 its reverse (40212010044), we get a palindrome (4440314130444).

The spelling of 4400102120400 in words is "four trillion, four hundred billion, one hundred two million, one hundred twenty thousand, four hundred".