4430866406400 has 2640 divisors, whose sum is σ = 19892317603840. Its totient is φ = 953126092800.

The previous prime is 4430866406371. The next prime is 4430866406401. The reversal of 4430866406400 is 46046680344.

It is a super-2 number, since 2×4430866406400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4430866406401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 19348761486 + ... + 19348761714.

Almost surely, 2^{4430866406400} is an apocalyptic number.

4430866406400 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 4430866406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9946158801920).

4430866406400 is an abundant number, since it is smaller than the sum of its proper divisors (15461451197440).

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

4430866406400 is a wasteful number, since it uses less digits than its factorization.

4430866406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

It can be divided in two parts, 443086 and 6406400, that added together give a palindrome (6849486).

The spelling of 4430866406400 in words is "four trillion, four hundred thirty billion, eight hundred sixty-six million, four hundred six thousand, four hundred".