1112435310400 has 336 divisors, whose sum is σ = 2985896390400. Its totient is φ = 406213263360.

The previous prime is 1112435310379. The next prime is 1112435310409. The reversal of 1112435310400 is 40135342111.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112435310409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 361296061 + ... + 361299139.

It is an arithmetic number, because the mean of its divisors is an integer number (8886596400).

Almost surely, 2^{1112435310400} is an apocalyptic number.

1112435310400 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 1112435310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492948195200).

1112435310400 is an abundant number, since it is smaller than the sum of its proper divisors (1873461080000).

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

1112435310400 is a wasteful number, since it uses less digits than its factorization.

1112435310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3514 (or 3499 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The spelling of 1112435310400 in words is "one trillion, one hundred twelve billion, four hundred thirty-five million, three hundred ten thousand, four hundred".