101444434400 has 36 divisors (see below), whose sum is σ = 247651227432. Its totient is φ = 40577773440.

The previous prime is 101444434393. The next prime is 101444434423. The reversal of 101444434400 is 4434444101.

101444434400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 63401972 + ... + 63403571.

It is an arithmetic number, because the mean of its divisors is an integer number (6879200762).

Almost surely, 2^101444434400 is an apocalyptic number.

101444434400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101444434400 is an abundant number, since it is smaller than the sum of its proper divisors (146206793032).

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

101444434400 is a wasteful number, since it uses less digits than its factorization.

101444434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126805563 (or 126805550 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 101444434400 its reverse (4434444101), we get a palindrome (105878878501).

The spelling of 101444434400 in words is "one hundred one billion, four hundred forty-four million, four hundred thirty-four thousand, four hundred".