1120452440400 has 180 divisors, whose sum is σ = 3890631775420. Its totient is φ = 298606694400.

The previous prime is 1120452440389. The next prime is 1120452440461. The reversal of 1120452440400 is 40442540211.

1120452440400 is a `hidden beast` number, since 1 + 1 + 204 + 52 + 4 + 4 + 0 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 112042833984 + 1008409606416 = 334728^2 + 1004196^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5915160 + ... + 6101640.

Almost surely, 2^{1120452440400} is an apocalyptic number.

1120452440400 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 1120452440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1945315887710).

1120452440400 is an abundant number, since it is smaller than the sum of its proper divisors (2770179335020).

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

1120452440400 is a wasteful number, since it uses less digits than its factorization.

1120452440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188174 (or 188160 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 1120452440400 its reverse (40442540211), we get a palindrome (1160894980611).

The spelling of 1120452440400 in words is "one trillion, one hundred twenty billion, four hundred fifty-two million, four hundred forty thousand, four hundred".