4420402646400 has 576 divisors, whose sum is σ = 17000303785920. Its totient is φ = 1087203409920.

The previous prime is 4420402646399. The next prime is 4420402646417. The reversal of 4420402646400 is 46462040244.

4420402646400 is a `hidden beast` number, since 4 + 4 + 2 + 0 + 4 + 0 + 2 + 6 + 4 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 532767052 + ... + 532775348.

It is an arithmetic number, because the mean of its divisors is an integer number (29514416295).

Almost surely, 2^{4420402646400} is an apocalyptic number.

4420402646400 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 4420402646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8500151892960).

4420402646400 is an abundant number, since it is smaller than the sum of its proper divisors (12579901139520).

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

4420402646400 is a wasteful number, since it uses less digits than its factorization.

4420402646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9763 (or 9743 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 4420402646400 its reverse (46462040244), we get a palindrome (4466864686644).

The spelling of 4420402646400 in words is "four trillion, four hundred twenty billion, four hundred two million, six hundred forty-six thousand, four hundred".