3040828813440 has 576 divisors, whose sum is σ = 12149232076800. Its totient is φ = 698369126400.

The previous prime is 3040828813439. The next prime is 3040828813441. The reversal of 3040828813440 is 443188280403.

It is a happy number.

3040828813440 is a `hidden beast` number, since 3 + 0 + 40 + 82 + 88 + 13 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (3040828813439) and next prime (3040828813441).

It is a tau number, because it is divible by the number of its divisors (576).

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 (3040828813441) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13127425 + ... + 13357055.

It is an arithmetic number, because the mean of its divisors is an integer number (21092416800).

Almost surely, 2^{3040828813440} is an apocalyptic number.

3040828813440 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 3040828813440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6074616038400).

3040828813440 is an abundant number, since it is smaller than the sum of its proper divisors (9108403263360).

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

3040828813440 is a wasteful number, since it uses less digits than its factorization.

3040828813440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229697 (or 229671 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 3040828813440 in words is "three trillion, forty billion, eight hundred twenty-eight million, eight hundred thirteen thousand, four hundred forty".