6311197963440 has 480 divisors, whose sum is σ = 22318232541696. Its totient is φ = 1657231073280.

The previous prime is 6311197963409. The next prime is 6311197963463. The reversal of 6311197963440 is 443697911136.

6311197963440 is a `hidden beast` number, since 6 + 3 + 1 + 1 + 197 + 9 + 6 + 3 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 501798432 + ... + 501811008.

Almost surely, 2^{6311197963440} is an apocalyptic number.

6311197963440 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 6311197963440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11159116270848).

6311197963440 is an abundant number, since it is smaller than the sum of its proper divisors (16007034578256).

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

6311197963440 is a wasteful number, since it uses less digits than its factorization.

6311197963440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12999 (or 12981 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 6311197963440 in words is "six trillion, three hundred eleven billion, one hundred ninety-seven million, nine hundred sixty-three thousand, four hundred forty".