73400404444400 has 480 divisors, whose sum is σ = 198990656640000. Its totient is φ = 25791751065600.

The previous prime is 73400404444379. The next prime is 73400404444483. The reversal of 73400404444400 is 444440400437.

73400404444400 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 95 ways as a sum of consecutive naturals, for example, 4696415786 + ... + 4696431414.

It is an arithmetic number, because the mean of its divisors is an integer number (414563868000).

Almost surely, 2^{73400404444400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73400404444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99495328320000).

73400404444400 is an abundant number, since it is smaller than the sum of its proper divisors (125590252195600).

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

73400404444400 is a wasteful number, since it uses less digits than its factorization.

73400404444400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16025 (or 16014 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 38.

Adding to 73400404444400 its reverse (444440400437), we get a palindrome (73844844844837).

The spelling of 73400404444400 in words is "seventy-three trillion, four hundred billion, four hundred four million, four hundred forty-four thousand, four hundred".