4430214200400 has 60 divisors (see below), whose sum is σ = 14191452825792. Its totient is φ = 1181390453120.

The previous prime is 4430214200383. The next prime is 4430214200443. The reversal of 4430214200400 is 40024120344.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×4430214200400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1845921384 + ... + 1845923783.

Almost surely, 2^{4430214200400} is an apocalyptic number.

4430214200400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4430214200400 is an abundant number, since it is smaller than the sum of its proper divisors (9761238625392).

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

4430214200400 is a wasteful number, since it uses less digits than its factorization.

4430214200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3691845188 (or 3691845177 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 4430214200400 its reverse (40024120344), we get a palindrome (4470238320744).

The spelling of 4430214200400 in words is "four trillion, four hundred thirty billion, two hundred fourteen million, two hundred thousand, four hundred".