1055444442400 has 144 divisors (see below), whose sum is σ = 2846785544064. Its totient is φ = 380067860480.

The previous prime is 1055444442373. The next prime is 1055444442419. The reversal of 1055444442400 is 42444445501.

1055444442400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1055444442400² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1055444442400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1374292 + ... + 1999891.

It is an arithmetic number, because the mean of its divisors is an integer number (19769344056).

Almost surely, 2^{1055444442400} is an apocalyptic number.

1055444442400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1055444442400 is an abundant number, since it is smaller than the sum of its proper divisors (1791341101664).

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

1055444442400 is a wasteful number, since it uses less digits than its factorization.

1055444442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3374243 (or 3374230 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 37.

Adding to 1055444442400 its reverse (42444445501), we get a palindrome (1097888887901).

The spelling of 1055444442400 in words is "one trillion, fifty-five billion, four hundred forty-four million, four hundred forty-two thousand, four hundred".