1466998480080 has 1280 divisors, whose sum is σ = 6488327577600. Its totient is φ = 296567930880.

The previous prime is 1466998480049. The next prime is 1466998480109. The reversal of 1466998480080 is 800848996641.

1466998480080 is a `hidden beast` number, since 1 + 4 + 6 + 69 + 98 + 480 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 639771414 + ... + 639773706.

It is an arithmetic number, because the mean of its divisors is an integer number (5069005920).

Almost surely, 2^{1466998480080} is an apocalyptic number.

1466998480080 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 1466998480080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3244163788800).

1466998480080 is an abundant number, since it is smaller than the sum of its proper divisors (5021329097520).

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

1466998480080 is a wasteful number, since it uses less digits than its factorization.

1466998480080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2489 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 1466998480080 in words is "one trillion, four hundred sixty-six billion, nine hundred ninety-eight million, four hundred eighty thousand, eighty".