1103984640000 has 1500 divisors, whose sum is σ = 4533296886888. Its totient is φ = 267632640000.

The previous prime is 1103984639903. The next prime is 1103984640037. The reversal of 1103984640000 is 464893011.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1103984640000 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 9 + 8 + 4 + 640 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1500).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 13200 × 7920 × 10560.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 100362239995 + ... + 100362240005.

Almost surely, 2^{1103984640000} is an apocalyptic number.

1103984640000 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 1103984640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2266648443444).

1103984640000 is an abundant number, since it is smaller than the sum of its proper divisors (3429312246888).

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

1103984640000 is an frugal number, since it uses more digits than its factorization.

1103984640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 1103984640000 in words is "one trillion, one hundred three billion, nine hundred eighty-four million, six hundred forty thousand".