10442617542720 has 2688 divisors, whose sum is σ = 44281231248384. Its totient is φ = 2248114176000.

The previous prime is 10442617542653. The next prime is 10442617542743. The reversal of 10442617542720 is 2724571624401.

10442617542720 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 2 + 617 + 5 + 4 + 2 + 7 + 20 = 666.

It is a super-2 number, since 2×10442617542720² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

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 383 ways as a sum of consecutive naturals, for example, 147079120285 + ... + 147079120355.

Almost surely, 2^{10442617542720} is an apocalyptic number.

10442617542720 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 10442617542720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22140615624192).

10442617542720 is an abundant number, since it is smaller than the sum of its proper divisors (33838613705664).

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

10442617542720 is a wasteful number, since it uses less digits than its factorization.

10442617542720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 10442617542720 in words is "ten trillion, four hundred forty-two billion, six hundred seventeen million, five hundred forty-two thousand, seven hundred twenty".