4334243401400 has 144 divisors (see below), whose sum is σ = 11728059199920. Its totient is φ = 1483377280000.

The previous prime is 4334243401393. The next prime is 4334243401409. The reversal of 4334243401400 is 41043424334.

4334243401400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4334243401409) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4856276 + ... + 5679075.

It is an arithmetic number, because the mean of its divisors is an integer number (81444855555).

Almost surely, 2^{4334243401400} is an apocalyptic number.

4334243401400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4334243401400 is an abundant number, since it is smaller than the sum of its proper divisors (7393815798520).

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

4334243401400 is a wasteful number, since it uses less digits than its factorization.

4334243401400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10535406 (or 10535386 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 4334243401400 its reverse (41043424334), we get a palindrome (4375286825734).

The spelling of 4334243401400 in words is "four trillion, three hundred thirty-four billion, two hundred forty-three million, four hundred one thousand, four hundred".