4334112123400 has 48 divisors (see below), whose sum is σ = 10077061516740. Its totient is φ = 1733601696000.

The previous prime is 4334112123379. The next prime is 4334112123401. The reversal of 4334112123400 is 43212114334.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2432807584516 + 1901304538884 = 1559746^2 + 1378878^2 .

It is not an unprimeable number, because it can be changed into a prime (4334112123401) 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, 8495550 + ... + 8991250.

Almost surely, 2^{4334112123400} is an apocalyptic number.

4334112123400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4334112123400 is an abundant number, since it is smaller than the sum of its proper divisors (5742949393340).

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

4334112123400 is a wasteful number, since it uses less digits than its factorization.

4334112123400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539434 (or 539425 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 4334112123400 its reverse (43212114334), we get a palindrome (4377324237734).

The spelling of 4334112123400 in words is "four trillion, three hundred thirty-four billion, one hundred twelve million, one hundred twenty-three thousand, four hundred".