6615400330440 has 384 divisors, whose sum is σ = 25214366361600. Its totient is φ = 1486999503360.

The previous prime is 6615400330433. The next prime is 6615400330489. The reversal of 6615400330440 is 440330045166.

6615400330440 is a `hidden beast` number, since 6 + 615 + 4 + 0 + 0 + 3 + 30 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×6615400330440² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6615400330395 and 6615400330404.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2600919 + ... + 4471641.

It is an arithmetic number, because the mean of its divisors is an integer number (65662412400).

Almost surely, 2^{6615400330440} is an apocalyptic number.

6615400330440 is a gapful number since it is divisible by the number (60) 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 6615400330440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12607183180800).

6615400330440 is an abundant number, since it is smaller than the sum of its proper divisors (18598966031160).

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

6615400330440 is a wasteful number, since it uses less digits than its factorization.

6615400330440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1870817 (or 1870810 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 6615400330440 in words is "six trillion, six hundred fifteen billion, four hundred million, three hundred thirty thousand, four hundred forty".