6390841897440 has 4608 divisors, whose sum is σ = 32867800842240. Its totient is φ = 1086632755200.

The previous prime is 6390841897403. The next prime is 6390841897463. The reversal of 6390841897440 is 447981480936.

6390841897440 is a `hidden beast` number, since 6 + 3 + 9 + 0 + 8 + 4 + 189 + 7 + 440 = 666.

It is a super-3 number, since 3×6390841897440³ (a number of 39 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (63) 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 (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 35703027271 + ... + 35703027449.

It is an arithmetic number, because the mean of its divisors is an integer number (7132769280).

Almost surely, 2^{6390841897440} is an apocalyptic number.

6390841897440 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 6390841897440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16433900421120).

6390841897440 is an abundant number, since it is smaller than the sum of its proper divisors (26476958944800).

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

6390841897440 is a wasteful number, since it uses less digits than its factorization.

6390841897440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 6390841897440 in words is "six trillion, three hundred ninety billion, eight hundred forty-one million, eight hundred ninety-seven thousand, four hundred forty".