14442470864640 has 1296 divisors, whose sum is σ = 64918459857888. Its totient is φ = 3047160840192.

The previous prime is 14442470864639. The next prime is 14442470864687. The reversal of 14442470864640 is 4646807424441.

14442470864640 is a `hidden beast` number, since 1 + 4 + 442 + 47 + 0 + 86 + 46 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 198096034 + ... + 198168926.

Almost surely, 2^{14442470864640} is an apocalyptic number.

14442470864640 is a gapful number since it is divisible by the number (10) 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 14442470864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32459229928944).

14442470864640 is an abundant number, since it is smaller than the sum of its proper divisors (50475988993248).

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

14442470864640 is an equidigital number, since it uses as much as digits as its factorization.

14442470864640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72956 (or 72923 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 54.

The spelling of 14442470864640 in words is "fourteen trillion, four hundred forty-two billion, four hundred seventy million, eight hundred sixty-four thousand, six hundred forty".