1089958418640 has 1920 divisors, whose sum is σ = 5000004979200. Its totient is φ = 215707484160.

The previous prime is 1089958418629. The next prime is 1089958418669. The reversal of 1089958418640 is 468148599801.

1089958418640 is a `hidden beast` number, since 1 + 0 + 8 + 9 + 9 + 584 + 1 + 8 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4522648920 + ... + 4522649160.

It is an arithmetic number, because the mean of its divisors is an integer number (2604169260).

Almost surely, 2^{1089958418640} is an apocalyptic number.

1089958418640 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 1089958418640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2500002489600).

1089958418640 is an abundant number, since it is smaller than the sum of its proper divisors (3910046560560).

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

1089958418640 is a wasteful number, since it uses less digits than its factorization.

1089958418640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The spelling of 1089958418640 in words is "one trillion, eighty-nine billion, nine hundred fifty-eight million, four hundred eighteen thousand, six hundred forty".