4442210210400 has 144 divisors (see below), whose sum is σ = 14519895667200. Its totient is φ = 1179632796160.

The previous prime is 4442210210369. The next prime is 4442210210413. The reversal of 4442210210400 is 40120122444.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3298620 + ... + 4445819.

It is an arithmetic number, because the mean of its divisors is an integer number (100832608800).

Almost surely, 2^{4442210210400} is an apocalyptic number.

4442210210400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4442210210400 is an abundant number, since it is smaller than the sum of its proper divisors (10077685456800).

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

4442210210400 is a wasteful number, since it uses less digits than its factorization.

4442210210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7744701 (or 7744688 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 4442210210400 its reverse (40120122444), we get a palindrome (4482330332844).

The spelling of 4442210210400 in words is "four trillion, four hundred forty-two billion, two hundred ten million, two hundred ten thousand, four hundred".