6399301501440 has 280 divisors, whose sum is σ = 23004471026988. Its totient is φ = 1706479902720.

The previous prime is 6399301501433. The next prime is 6399301501469. The reversal of 6399301501440 is 441051039936.

6399301501440 is a `hidden beast` number, since 639 + 9 + 3 + 0 + 1 + 5 + 0 + 1 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6323575267584 + 75726233856 = 2514672^2 + 275184^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 151750 + ... + 3580730.

Almost surely, 2^{6399301501440} is an apocalyptic number.

6399301501440 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 6399301501440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11502235513494).

6399301501440 is an abundant number, since it is smaller than the sum of its proper divisors (16605169525548).

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

6399301501440 is an frugal number, since it uses more digits than its factorization.

6399301501440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3429022 (or 3428991 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 6399301501440 in words is "six trillion, three hundred ninety-nine billion, three hundred one million, five hundred one thousand, four hundred forty".