1144411424400 has 60 divisors (see below), whose sum is σ = 3665931266672. Its totient is φ = 305176379520.

The previous prime is 1144411424393. The next prime is 1144411424413. The reversal of 1144411424400 is 44241144411.

It is a tau number, because it is divible by the number of its divisors (60).

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 11 ways as a sum of consecutive naturals, for example, 476836894 + ... + 476839293.

Almost surely, 2^{1144411424400} is an apocalyptic number.

1144411424400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144411424400 is an abundant number, since it is smaller than the sum of its proper divisors (2521519842272).

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

1144411424400 is a wasteful number, since it uses less digits than its factorization.

1144411424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953676208 (or 953676197 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

Adding to 1144411424400 its reverse (44241144411), we get a palindrome (1188652568811).

The spelling of 1144411424400 in words is "one trillion, one hundred forty-four billion, four hundred eleven million, four hundred twenty-four thousand, four hundred".