4425214110400 has 84 divisors (see below), whose sum is σ = 10917986415952. Its totient is φ = 1765339868160.

The previous prime is 4425214110397. The next prime is 4425214110403. The reversal of 4425214110400 is 40114125244.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4425214110397) and next prime (4425214110403).

It is not an unprimeable number, because it can be changed into a prime (4425214110403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3110652 + ... + 4304251.

Almost surely, 2^{4425214110400} is an apocalyptic number.

4425214110400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4425214110400 is an abundant number, since it is smaller than the sum of its proper divisors (6492772305552).

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

4425214110400 is a wasteful number, since it uses less digits than its factorization.

4425214110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7415298 (or 7415283 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

Adding to 4425214110400 its reverse (40114125244), we get a palindrome (4465328235644).

The spelling of 4425214110400 in words is "four trillion, four hundred twenty-five billion, two hundred fourteen million, one hundred ten thousand, four hundred".