1114433322400 has 72 divisors (see below), whose sum is σ = 2720813317740. Its totient is φ = 445740072960.

The previous prime is 1114433322371. The next prime is 1114433322419. The reversal of 1114433322400 is 42233344111.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 356022248976 + 758411073424 = 596676^2 + 870868^2 .

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, 12603142 + ... + 12691258.

Almost surely, 2^{1114433322400} is an apocalyptic number.

1114433322400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1114433322400 is an abundant number, since it is smaller than the sum of its proper divisors (1606379995340).

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

1114433322400 is a wasteful number, since it uses less digits than its factorization.

1114433322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103946 (or 103933 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 1114433322400 its reverse (42233344111), we get a palindrome (1156666666511).

The spelling of 1114433322400 in words is "one trillion, one hundred fourteen billion, four hundred thirty-three million, three hundred twenty-two thousand, four hundred".