4244312400 has 120 divisors (see below), whose sum is σ = 14064888480. Its totient is φ = 1092779520.

The previous prime is 4244312399. The next prime is 4244312411. The reversal of 4244312400 is 42134424.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26182 + ... + 95781.

It is an arithmetic number, because the mean of its divisors is an integer number (117207404).

Almost surely, 2^4244312400 is an apocalyptic number.

4244312400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4244312400 is an abundant number, since it is smaller than the sum of its proper divisors (9820576080).

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

4244312400 is a wasteful number, since it uses less digits than its factorization.

4244312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122013 (or 122002 counting only the distinct ones).

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

The square root of 4244312400 is about 65148.3875471987. The cubic root of 4244312400 is about 1619.0830048893.

Adding to 4244312400 its reverse (42134424), we get a palindrome (4286446824).

The spelling of 4244312400 in words is "four billion, two hundred forty-four million, three hundred twelve thousand, four hundred".