1403112000000 has 1120 divisors, whose sum is σ = 5236414223040. Its totient is φ = 331776000000.

The previous prime is 1403111999959. The next prime is 1403112000061. The reversal of 1403112000000 is 2113041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 1403112000000.

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 111 ways as a sum of consecutive naturals, for example, 7751999910 + ... + 7752000090.

It is an arithmetic number, because the mean of its divisors is an integer number (4675369842).

Almost surely, 2^{1403112000000} is an apocalyptic number.

1403112000000 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 1403112000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2618207111520).

1403112000000 is an abundant number, since it is smaller than the sum of its proper divisors (3833302223040).

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

1403112000000 is an frugal number, since it uses more digits than its factorization.

1403112000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1403112000000 its reverse (2113041), we get a palindrome (1403114113041).

The spelling of 1403112000000 in words is "one trillion, four hundred three billion, one hundred twelve million", and thus it is an aban number.