1083420640224 has 144 divisors (see below), whose sum is σ = 3398902429104. Its totient is φ = 325229414400.

The previous prime is 1083420640193. The next prime is 1083420640229. The reversal of 1083420640224 is 4220460243801.

1083420640224 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 4 + 2 + 0 + 640 + 2 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1083420640229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3375462 + ... + 3682469.

It is an arithmetic number, because the mean of its divisors is an integer number (23603489091).

Almost surely, 2^{1083420640224} is an apocalyptic number.

It is an amenable number.

1083420640224 is an abundant number, since it is smaller than the sum of its proper divisors (2315481788880).

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

1083420640224 is a wasteful number, since it uses less digits than its factorization.

1083420640224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7058001 (or 7057990 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 1083420640224 in words is "one trillion, eighty-three billion, four hundred twenty million, six hundred forty thousand, two hundred twenty-four".