10442065455360 has 3456 divisors, whose sum is σ = 48622423449600. Its totient is φ = 2048385024000.

The previous prime is 10442065455319. The next prime is 10442065455407. The reversal of 10442065455360 is 6355456024401.

10442065455360 is a `hidden beast` number, since 1 + 0 + 4 + 42 + 0 + 6 + 54 + 553 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 69152751285 + ... + 69152751435.

Almost surely, 2^{10442065455360} is an apocalyptic number.

10442065455360 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 10442065455360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24311211724800).

10442065455360 is an abundant number, since it is smaller than the sum of its proper divisors (38180357994240).

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

10442065455360 is a wasteful number, since it uses less digits than its factorization.

10442065455360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 10442065455360 in words is "ten trillion, four hundred forty-two billion, sixty-five million, four hundred fifty-five thousand, three hundred sixty".