10720444919040 has 1008 divisors, whose sum is σ = 39876504708096. Its totient is φ = 2757257625600.

The previous prime is 10720444919027. The next prime is 10720444919059. The reversal of 10720444919040 is 4091944402701.

10720444919040 is a `hidden beast` number, since 1 + 0 + 72 + 0 + 4 + 4 + 491 + 90 + 4 + 0 = 666.

It is a super-2 number, since 2×10720444919040² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 14087312260 + ... + 14087313020.

It is an arithmetic number, because the mean of its divisors is an integer number (39560024512).

Almost surely, 2^{10720444919040} is an apocalyptic number.

10720444919040 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 10720444919040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19938252354048).

10720444919040 is an abundant number, since it is smaller than the sum of its proper divisors (29156059789056).

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

10720444919040 is an frugal number, since it uses more digits than its factorization.

10720444919040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 10720444919040 in words is "ten trillion, seven hundred twenty billion, four hundred forty-four million, nine hundred nineteen thousand, forty".