1106423724320 has 192 divisors, whose sum is σ = 2674706832000. Its totient is φ = 432382550016.

The previous prime is 1106423724317. The next prime is 1106423724361. The reversal of 1106423724320 is 234273246011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1965228359 + ... + 1965228921.

It is an arithmetic number, because the mean of its divisors is an integer number (13930764750).

Almost surely, 2^{1106423724320} is an apocalyptic number.

1106423724320 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 1106423724320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337353416000).

1106423724320 is an abundant number, since it is smaller than the sum of its proper divisors (1568283107680).

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

1106423724320 is a wasteful number, since it uses less digits than its factorization.

1106423724320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The spelling of 1106423724320 in words is "one trillion, one hundred six billion, four hundred twenty-three million, seven hundred twenty-four thousand, three hundred twenty".