109858643440 has 160 divisors (see below), whose sum is σ = 314533618560. Its totient is φ = 34749775872.

The previous prime is 109858643437. The next prime is 109858643497. The reversal of 109858643440 is 44346858901.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

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, 21087556 + ... + 21092764.

It is an arithmetic number, because the mean of its divisors is an integer number (1965835116).

Almost surely, 2^109858643440 is an apocalyptic number.

109858643440 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 109858643440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157266809280).

109858643440 is an abundant number, since it is smaller than the sum of its proper divisors (204674975120).

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

109858643440 is a wasteful number, since it uses less digits than its factorization.

109858643440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8139 (or 8133 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 52.

The spelling of 109858643440 in words is "one hundred nine billion, eight hundred fifty-eight million, six hundred forty-three thousand, four hundred forty".