134240043104400 has 240 divisors, whose sum is σ = 444944184874560. Its totient is φ = 34555148544000.

The previous prime is 134240043104369. The next prime is 134240043104417. The reversal of 134240043104400 is 4401340042431.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154461474 + ... + 155328126.

It is an arithmetic number, because the mean of its divisors is an integer number (1853934103644).

Almost surely, 2^{134240043104400} is an apocalyptic number.

134240043104400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134240043104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222472092437280).

134240043104400 is an abundant number, since it is smaller than the sum of its proper divisors (310704141770160).

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

134240043104400 is a wasteful number, since it uses less digits than its factorization.

134240043104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871154 (or 871143 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 134240043104400 its reverse (4401340042431), we get a palindrome (138641383146831).

The spelling of 134240043104400 in words is "one hundred thirty-four trillion, two hundred forty billion, forty-three million, one hundred four thousand, four hundred".