14640262116480 has 4608 divisors, whose sum is σ = 72805642905600. Its totient is φ = 2747437056000.

The previous prime is 14640262116461. The next prime is 14640262116499. The reversal of 14640262116480 is 8461126204641.

14640262116480 is a `hidden beast` number, since 1 + 4 + 6 + 4 + 0 + 2 + 621 + 16 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14640262116461) and next prime (14640262116499).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 111757726015 + ... + 111757726145.

It is an arithmetic number, because the mean of its divisors is an integer number (15799835700).

Almost surely, 2^{14640262116480} is an apocalyptic number.

14640262116480 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 14640262116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36402821452800).

14640262116480 is an abundant number, since it is smaller than the sum of its proper divisors (58165380789120).

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

14640262116480 is a wasteful number, since it uses less digits than its factorization.

14640262116480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 14640262116480 in words is "fourteen trillion, six hundred forty billion, two hundred sixty-two million, one hundred sixteen thousand, four hundred eighty".