1466534320640 has 320 divisors, whose sum is σ = 3740515368480. Its totient is φ = 550695075840.

The previous prime is 1466534320621. The next prime is 1466534320679. The reversal of 1466534320640 is 460234356641.

It can be written as a sum of positive squares in 16 ways, for example, as 15261143296 + 1451273177344 = 123536^2 + 1204688^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 1466534320591 and 1466534320600.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306227366 + ... + 306232154.

Almost surely, 2^{1466534320640} is an apocalyptic number.

1466534320640 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 1466534320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870257684240).

1466534320640 is an abundant number, since it is smaller than the sum of its proper divisors (2273981047840).

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

1466534320640 is an equidigital number, since it uses as much as digits as its factorization.

1466534320640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4963 (or 4947 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 44.

The spelling of 1466534320640 in words is "one trillion, four hundred sixty-six billion, five hundred thirty-four million, three hundred twenty thousand, six hundred forty".