1414564807680 has 264 divisors, whose sum is σ = 4904939520000. Its totient is φ = 376947228672.

The previous prime is 1414564807657. The next prime is 1414564807681. The reversal of 1414564807680 is 867084654141.

1414564807680 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 564 + 8 + 0 + 76 + 8 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (1414564807681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69063681 + ... + 69084159.

Almost surely, 2^{1414564807680} is an apocalyptic number.

1414564807680 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 1414564807680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2452469760000).

1414564807680 is an abundant number, since it is smaller than the sum of its proper divisors (3490374712320).

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

1414564807680 is a wasteful number, since it uses less digits than its factorization.

1414564807680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22009 (or 21988 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 1414564807680 in words is "one trillion, four hundred fourteen billion, five hundred sixty-four million, eight hundred seven thousand, six hundred eighty".