1466397759040 has 224 divisors, whose sum is σ = 3627871027200. Its totient is φ = 564216846336.

The previous prime is 1466397759023. The next prime is 1466397759077. The reversal of 1466397759040 is 409577936641.

It is a self number, because there is not a number n which added to its sum of digits gives 1466397759040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248412729 + ... + 248418631.

It is an arithmetic number, because the mean of its divisors is an integer number (16195852800).

Almost surely, 2^{1466397759040} is an apocalyptic number.

1466397759040 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 1466397759040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813935513600).

1466397759040 is an abundant number, since it is smaller than the sum of its proper divisors (2161473268160).

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

1466397759040 is a wasteful number, since it uses less digits than its factorization.

1466397759040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6249 (or 6239 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 61.

The spelling of 1466397759040 in words is "one trillion, four hundred sixty-six billion, three hundred ninety-seven million, seven hundred fifty-nine thousand, forty".