1201054448400 has 240 divisors, whose sum is σ = 3975091101696. Its totient is φ = 309794204160.

The previous prime is 1201054448389. The next prime is 1201054448413. The reversal of 1201054448400 is 48444501021.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5201809 + ... + 5427791.

Almost surely, 2^{1201054448400} is an apocalyptic number.

1201054448400 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 1201054448400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1987545550848).

1201054448400 is an abundant number, since it is smaller than the sum of its proper divisors (2774036653296).

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

1201054448400 is a wasteful number, since it uses less digits than its factorization.

1201054448400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226150 (or 226139 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

Adding to 1201054448400 its reverse (48444501021), we get a palindrome (1249498949421).

The spelling of 1201054448400 in words is "one trillion, two hundred one billion, fifty-four million, four hundred forty-eight thousand, four hundred".