3018920509440 has 960 divisors, whose sum is σ = 11795365048320. Its totient is φ = 726498017280.

The previous prime is 3018920509411. The next prime is 3018920509447. The reversal of 3018920509440 is 449050298103.

3018920509440 is a `hidden beast` number, since 3 + 0 + 1 + 89 + 20 + 509 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×3018920509440² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3018920509447) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4063149709 + ... + 4063150451.

It is an arithmetic number, because the mean of its divisors is an integer number (12286838592).

Almost surely, 2^{3018920509440} is an apocalyptic number.

3018920509440 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 3018920509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5897682524160).

3018920509440 is an abundant number, since it is smaller than the sum of its proper divisors (8776444538880).

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

3018920509440 is a wasteful number, since it uses less digits than its factorization.

3018920509440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 3018920509440 in words is "three trillion, eighteen billion, nine hundred twenty million, five hundred nine thousand, four hundred forty".