3109859101440 has 3456 divisors, whose sum is σ = 15227352870912. Its totient is φ = 588597166080.

The previous prime is 3109859101243. The next prime is 3109859101441. The reversal of 3109859101440 is 441019589013.

3109859101440 is a `hidden beast` number, since 3 + 1 + 0 + 9 + 8 + 591 + 0 + 14 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (3109859101441) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 11067114100 + ... + 11067114380.

It is an arithmetic number, because the mean of its divisors is an integer number (4406062752).

Almost surely, 2^{3109859101440} is an apocalyptic number.

3109859101440 is a gapful number since it is divisible by the number (30) 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 3109859101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7613676435456).

3109859101440 is an abundant number, since it is smaller than the sum of its proper divisors (12117493769472).

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

3109859101440 is a wasteful number, since it uses less digits than its factorization.

3109859101440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 3109859101440 in words is "three trillion, one hundred nine billion, eight hundred fifty-nine million, one hundred one thousand, four hundred forty".