1490953175712 has 1728 divisors, whose sum is σ = 5997043084032. Its totient is φ = 341596569600.

The previous prime is 1490953175707. The next prime is 1490953175771. The reversal of 1490953175712 is 2175713590941.

1490953175712 is a `hidden beast` number, since 1 + 4 + 9 + 0 + 9 + 53 + 17 + 571 + 2 = 666.

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 287 ways as a sum of consecutive naturals, for example, 11381321887 + ... + 11381322017.

It is an arithmetic number, because the mean of its divisors is an integer number (3470511044).

Almost surely, 2^{1490953175712} is an apocalyptic number.

1490953175712 is a gapful number since it is divisible by the number (12) 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 1490953175712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2998521542016).

1490953175712 is an abundant number, since it is smaller than the sum of its proper divisors (4506089908320).

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

1490953175712 is a wasteful number, since it uses less digits than its factorization.

1490953175712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 54.

The spelling of 1490953175712 in words is "one trillion, four hundred ninety billion, nine hundred fifty-three million, one hundred seventy-five thousand, seven hundred twelve".