1113035002400 has 432 divisors, whose sum is σ = 3063907334880. Its totient is φ = 392371200000.

The previous prime is 1113035002363. The next prime is 1113035002411. The reversal of 1113035002400 is 42005303111.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4434402275 + ... + 4434402525.

It is an arithmetic number, because the mean of its divisors is an integer number (7092378090).

Almost surely, 2^{1113035002400} is an apocalyptic number.

1113035002400 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 1113035002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531953667440).

1113035002400 is an abundant number, since it is smaller than the sum of its proper divisors (1950872332480).

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

1113035002400 is a wasteful number, since it uses less digits than its factorization.

1113035002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The spelling of 1113035002400 in words is "one trillion, one hundred thirteen billion, thirty-five million, two thousand, four hundred".