1112335040400 has 240 divisors, whose sum is σ = 3673435016064. Its totient is φ = 287505469440.

The previous prime is 1112335040351. The next prime is 1112335040459. The reversal of 1112335040400 is 40405332111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11629572 + ... + 11724828.

Almost surely, 2^{1112335040400} is an apocalyptic number.

1112335040400 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 1112335040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836717508032).

1112335040400 is an abundant number, since it is smaller than the sum of its proper divisors (2561099975664).

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

1112335040400 is a wasteful number, since it uses less digits than its factorization.

1112335040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95578 (or 95567 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 1112335040400 in words is "one trillion, one hundred twelve billion, three hundred thirty-five million, forty thousand, four hundred".