10490197468320 has 480 divisors, whose sum is σ = 38235996158976. Its totient is φ = 2705724518400.

The previous prime is 10490197468271. The next prime is 10490197468349. The reversal of 10490197468320 is 2386479109401.

10490197468320 is a `hidden beast` number, since 1 + 0 + 4 + 90 + 1 + 97 + 468 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×10490197468320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 916408837 + ... + 916420283.

Almost surely, 2^{10490197468320} is an apocalyptic number.

10490197468320 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 10490197468320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19117998079488).

10490197468320 is an abundant number, since it is smaller than the sum of its proper divisors (27745798690656).

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

10490197468320 is a wasteful number, since it uses less digits than its factorization.

10490197468320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13786 (or 13769 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 10490197468320 in words is "ten trillion, four hundred ninety billion, one hundred ninety-seven million, four hundred sixty-eight thousand, three hundred twenty".