10909041361920 has 704 divisors, whose sum is σ = 43948533216000. Its totient is φ = 2543962816512.

The previous prime is 10909041361913. The next prime is 10909041361937. The reversal of 10909041361920 is 2916314090901.

10909041361920 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 9 + 0 + 4 + 1 + 3 + 619 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33985536 + ... + 34305024.

Almost surely, 2^{10909041361920} is an apocalyptic number.

10909041361920 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 10909041361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21974266608000).

10909041361920 is an abundant number, since it is smaller than the sum of its proper divisors (33039491854080).

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

10909041361920 is a wasteful number, since it uses less digits than its factorization.

10909041361920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319555 (or 319531 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 10909041361920 in words is "ten trillion, nine hundred nine billion, forty-one million, three hundred sixty-one thousand, nine hundred twenty".