4212344400 has 120 divisors (see below), whose sum is σ = 14720275104. Its totient is φ = 1021171200.

The previous prime is 4212344399. The next prime is 4212344419. The reversal of 4212344400 is 44432124.

It is a happy number.

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

It is a super-2 number, since 2×4212344400² = 35487690688422720000, which 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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146359 + ... + 172758.

Almost surely, 2^4212344400 is an apocalyptic number.

4212344400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4212344400 is an abundant number, since it is smaller than the sum of its proper divisors (10507930704).

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

4212344400 is a wasteful number, since it uses less digits than its factorization.

4212344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319149 (or 319138 counting only the distinct ones).

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

The square root of 4212344400 is about 64902.5762200546. The cubic root of 4212344400 is about 1615.0077990083.

Adding to 4212344400 its reverse (44432124), we get a palindrome (4256776524).

The spelling of 4212344400 in words is "four billion, two hundred twelve million, three hundred forty-four thousand, four hundred".