1466760960000 has 2400 divisors, whose sum is σ = 6538441029120. Its totient is φ = 320495616000.

The previous prime is 1466760959969. The next prime is 1466760960017. The reversal of 1466760960000 is 690676641.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2400).

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 199 ways as a sum of consecutive naturals, for example, 31207679977 + ... + 31207680023.

Almost surely, 2^{1466760960000} is an apocalyptic number.

1466760960000 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 1466760960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3269220514560).

1466760960000 is an abundant number, since it is smaller than the sum of its proper divisors (5071680069120).

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

1466760960000 is an frugal number, since it uses more digits than its factorization.

1466760960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 1466760960000 in words is "one trillion, four hundred sixty-six billion, seven hundred sixty million, nine hundred sixty thousand".